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Simplifying 8(w + -2) = -7w + 29 Reorder the terms: 8(-2 + w) = -7w + 29 (-2 * 8 + w * 8) = -7w + 29 (-16 + 8w) = -7w + 29 Reorder the terms: -16 + 8w = 29 + -7w Solving -16 + 8w = 29 + -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. -16 + 8w + 7w = 29 + -7w + 7w Combine like terms: 8w + 7w = 15w -16 + 15w = 29 + -7w + 7w Combine like terms: -7w + 7w = 0 -16 + 15w = 29 + 0 -16 + 15w = 29 Add '16' to each side of the equation. -16 + 16 + 15w = 29 + 16 Combine like terms: -16 + 16 = 0 0 + 15w = 29 + 16 15w = 29 + 16 Combine like terms: 29 + 16 = 45 15w = 45 Divide each side by '15'. w = 3 Simplifying w = 3
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