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Directions: Solve each equetion for the varialle SHOW YOUR wORX FOR OEEUTI \[ \begin{array}{l} \text { 13. }-5=6 d-7 d=4 \\ -5=d+4 \\ -5-4=-d+4-4 \\ -9=d x-1 \\ 9=d \end{array} \] 14. \( 4 c-4=e-4 \) 15. \( -74-6=116+74 \)

Ask by Mcguire Cole. in Greece
Jan 16,2025

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**Problem 13:** \[ d = \frac{1}{3} \] **Problem 14:** \[ c = \frac{e}{4} \] **Problem 15:** No solution.

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Beyond the Answer

Let’s tackle your equations step by step in a fun and engaging way! For the first equation: 1. You start with \(-5 = 6d - 7\). Isolate \(d\) by adding 7 to both sides: \(-5 + 7 = 6d\) simplifies to \(2 = 6d\). Now, divide by 6 to find \(d = \frac{2}{6} = \frac{1}{3}\). For the second equation: 2. \(-5 = d + 4\) means we can isolate \(d\) by subtracting 4 from both sides: \(-5 - 4 = d\) leads to \(d = -9\). For the next line, you correctly wrote \(-9 = d x - 1\), which requires isolating \(d\). For the last two: 3. \(4c - 4 = e - 4\) can be simplified by adding 4 to both sides to get \(4c = e\), so \(e = 4c\). 4. To solve \(-74 - 6 = 116 + 74\), simplify the left side to \(-80 = 190\). Woah! That’s incorrect, it looks like some numbers are mismatched here since it’s not a true statement. So, all in all, it’s a wild ride of numbers! Keep practicing those algebra skills; you’re on your way to becoming a math master!

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