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Simplifying 4(2w + 4) = 3(5w + -4) Reorder the terms: 4(4 + 2w) = 3(5w + -4) (4 * 4 + 2w * 4) = 3(5w + -4) (16 + 8w) = 3(5w + -4) Reorder the terms: 16 + 8w = 3(-4 + 5w) 16 + 8w = (-4 * 3 + 5w * 3) 16 + 8w = (-12 + 15w) Solving 16 + 8w = -12 + 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. 16 + 8w + -15w = -12 + 15w + -15w Combine like terms: 8w + -15w = -7w 16 + -7w = -12 + 15w + -15w Combine like terms: 15w + -15w = 0 16 + -7w = -12 + 0 16 + -7w = -12 Add '-16' to each side of the equation. 16 + -16 + -7w = -12 + -16 Combine like terms: 16 + -16 = 0 0 + -7w = -12 + -16 -7w = -12 + -16 Combine like terms: -12 + -16 = -28 -7w = -28 Divide each side by '-7'. w = 4 Simplifying w = 4
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