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Simplifying 6(w + -8) = -5w + 29 Reorder the terms: 6(-8 + w) = -5w + 29 (-8 * 6 + w * 6) = -5w + 29 (-48 + 6w) = -5w + 29 Reorder the terms: -48 + 6w = 29 + -5w Solving -48 + 6w = 29 + -5w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '5w' to each side of the equation. -48 + 6w + 5w = 29 + -5w + 5w Combine like terms: 6w + 5w = 11w -48 + 11w = 29 + -5w + 5w Combine like terms: -5w + 5w = 0 -48 + 11w = 29 + 0 -48 + 11w = 29 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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