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\( \xrightarrow { 4 } u + 4.5 = - 100 - 14.5 \)

Ask by Hilton Bradley. in the United States
Jan 22,2025

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Answer

\( u = -119 \)

Solution

It looks like you're working on solving an equation involving the variable \( u \). Let's break it down step by step. **Given Equation:** \[ u + 4.5 = -100 - 14.5 \] **Step 1: Simplify the Right Side** \[ -100 - 14.5 = -114.5 \] So, the equation becomes: \[ u + 4.5 = -114.5 \] **Step 2: Isolate \( u \)** Subtract \( 4.5 \) from both sides to solve for \( u \): \[ u + 4.5 - 4.5 = -114.5 - 4.5 \] \[ u = -119 \] **Solution:** \[ u = -119 \]

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The Deep Dive

First, let's simplify the equation step by step. We start with \( 4.5 = -100 - 14.5 \). When we calculate the right side, we get \( -100 - 14.5 = -114.5 \). Thus, our equation becomes \( u + 4.5 = -114.5 \). To solve for \( u \), we subtract \( 4.5 \) from both sides, yielding \( u = -114.5 - 4.5 = -119 \). Now you have \( u = -119 \) as the answer! This method of isolating the variable is a fundamental skill in algebra, useful whenever you encounter linear equations.

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