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Simplifying 8(w + -6) + 3w = 29 Reorder the terms: 8(-6 + w) + 3w = 29 (-6 * 8 + w * 8) + 3w = 29 (-48 + 8w) + 3w = 29 Combine like terms: 8w + 3w = 11w -48 + 11w = 29 Solving -48 + 11w = 29 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '48' to each side of the equation. -48 + 48 + 11w = 29 + 48 Combine like terms: -48 + 48 = 0 0 + 11w = 29 + 48 11w = 29 + 48 Combine like terms: 29 + 48 = 77 11w = 77 Divide each side by '11'. w = 7 Simplifying w = 7
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