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Simplifying -2w + 43 = -7(w + -4) Reorder the terms: 43 + -2w = -7(w + -4) Reorder the terms: 43 + -2w = -7(-4 + w) 43 + -2w = (-4 * -7 + w * -7) 43 + -2w = (28 + -7w) Solving 43 + -2w = 28 + -7w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '7w' to each side of the equation. 43 + -2w + 7w = 28 + -7w + 7w Combine like terms: -2w + 7w = 5w 43 + 5w = 28 + -7w + 7w Combine like terms: -7w + 7w = 0 43 + 5w = 28 + 0 43 + 5w = 28 Add '-43' to each side of the equation. 43 + -43 + 5w = 28 + -43 Combine like terms: 43 + -43 = 0 0 + 5w = 28 + -43 5w = 28 + -43 Combine like terms: 28 + -43 = -15 5w = -15 Divide each side by '5'. w = -3 Simplifying w = -3
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