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Simplifying 8(w + -4) = 7(w + -8) Reorder the terms: 8(-4 + w) = 7(w + -8) (-4 * 8 + w * 8) = 7(w + -8) (-32 + 8w) = 7(w + -8) Reorder the terms: -32 + 8w = 7(-8 + w) -32 + 8w = (-8 * 7 + w * 7) -32 + 8w = (-56 + 7w) Solving -32 + 8w = -56 + 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. -32 + 8w + -7w = -56 + 7w + -7w Combine like terms: 8w + -7w = 1w -32 + 1w = -56 + 7w + -7w Combine like terms: 7w + -7w = 0 -32 + 1w = -56 + 0 -32 + 1w = -56 Add '32' to each side of the equation. -32 + 32 + 1w = -56 + 32 Combine like terms: -32 + 32 = 0 0 + 1w = -56 + 32 1w = -56 + 32 Combine like terms: -56 + 32 = -24 1w = -24 Divide each side by '1'. w = -24 Simplifying w = -24
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