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Simplifying -4 = 8(w + -8) + 7w Reorder the terms: -4 = 8(-8 + w) + 7w -4 = (-8 * 8 + w * 8) + 7w -4 = (-64 + 8w) + 7w Combine like terms: 8w + 7w = 15w -4 = -64 + 15w Solving -4 = -64 + 15w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-15w' to each side of the equation. -4 + -15w = -64 + 15w + -15w Combine like terms: 15w + -15w = 0 -4 + -15w = -64 + 0 -4 + -15w = -64 Add '4' to each side of the equation. -4 + 4 + -15w = -64 + 4 Combine like terms: -4 + 4 = 0 0 + -15w = -64 + 4 -15w = -64 + 4 Combine like terms: -64 + 4 = -60 -15w = -60 Divide each side by '-15'. w = 4 Simplifying w = 4
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