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Simplifying 8(w + -3) = 7(5 + w) Reorder the terms: 8(-3 + w) = 7(5 + w) (-3 * 8 + w * 8) = 7(5 + w) (-24 + 8w) = 7(5 + w) -24 + 8w = (5 * 7 + w * 7) -24 + 8w = (35 + 7w) Solving -24 + 8w = 35 + 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. -24 + 8w + -7w = 35 + 7w + -7w Combine like terms: 8w + -7w = 1w -24 + 1w = 35 + 7w + -7w Combine like terms: 7w + -7w = 0 -24 + 1w = 35 + 0 -24 + 1w = 35 Add '24' to each side of the equation. -24 + 24 + 1w = 35 + 24 Combine like terms: -24 + 24 = 0 0 + 1w = 35 + 24 1w = 35 + 24 Combine like terms: 35 + 24 = 59 1w = 59 Divide each side by '1'. w = 59 Simplifying w = 59
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