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Simplifying -7w + 3 = -2(w + -4) Reorder the terms: 3 + -7w = -2(w + -4) Reorder the terms: 3 + -7w = -2(-4 + w) 3 + -7w = (-4 * -2 + w * -2) 3 + -7w = (8 + -2w) Solving 3 + -7w = 8 + -2w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '2w' to each side of the equation. 3 + -7w + 2w = 8 + -2w + 2w Combine like terms: -7w + 2w = -5w 3 + -5w = 8 + -2w + 2w Combine like terms: -2w + 2w = 0 3 + -5w = 8 + 0 3 + -5w = 8 Add '-3' to each side of the equation. 3 + -3 + -5w = 8 + -3 Combine like terms: 3 + -3 = 0 0 + -5w = 8 + -3 -5w = 8 + -3 Combine like terms: 8 + -3 = 5 -5w = 5 Divide each side by '-5'. w = -1 Simplifying w = -1
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