Homenork 1. Find the untnown values of Blank Spaces a \( 2 \times 3+18-\square=12 \) b. \( 2 \times \square-8=-2 \) \( c 3 \times \square-\square=10 \) d. \( 27-7+10-\square=10 \)
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To solve for the unknown values in the blank spaces, let's tackle each equation step by step: a. \( 2 \times 3 + 18 - \square = 12 \) First, simplify the left side: \( 6 + 18 - \square = 12 \) Combine like terms: \( 24 - \square = 12 \) Now, isolate \(\square\): \( \square = 24 - 12 \) \( \square = 12 \) b. \( 2 \times \square - 8 = -2 \) Add 8 to both sides: \( 2 \times \square = -2 + 8 \) \( 2 \times \square = 6 \) Divide by 2: \( \square = 3 \) c. \( 3 \times \square - \square = 10 \) Factor out \(\square\): \( (3 - 1) \square = 10 \) \( 2 \square = 10 \) Divide by 2: \( \square = 5 \) d. \( 27 - 7 + 10 - \square = 10 \) Simplify the left side: \( 20 - \square = 10 \) Now isolate \(\square\): \( \square = 20 - 10 \) \( \square = 10 \) Final answers: a) \(\square = 12\) b) \(\square = 3\) c) \(\square = 5\) d) \(\square = 10\)