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Simplifying -5w + 12 = -7(w + -4) Reorder the terms: 12 + -5w = -7(w + -4) Reorder the terms: 12 + -5w = -7(-4 + w) 12 + -5w = (-4 * -7 + w * -7) 12 + -5w = (28 + -7w) Solving 12 + -5w = 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. 12 + -5w + 7w = 28 + -7w + 7w Combine like terms: -5w + 7w = 2w 12 + 2w = 28 + -7w + 7w Combine like terms: -7w + 7w = 0 12 + 2w = 28 + 0 12 + 2w = 28 Add '-12' to each side of the equation. 12 + -12 + 2w = 28 + -12 Combine like terms: 12 + -12 = 0 0 + 2w = 28 + -12 2w = 28 + -12 Combine like terms: 28 + -12 = 16 2w = 16 Divide each side by '2'. w = 8 Simplifying w = 8
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