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Simplifying -8(w + 6) = -5w + -39 Reorder the terms: -8(6 + w) = -5w + -39 (6 * -8 + w * -8) = -5w + -39 (-48 + -8w) = -5w + -39 Reorder the terms: -48 + -8w = -39 + -5w Solving -48 + -8w = -39 + -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 + -8w + 5w = -39 + -5w + 5w Combine like terms: -8w + 5w = -3w -48 + -3w = -39 + -5w + 5w Combine like terms: -5w + 5w = 0 -48 + -3w = -39 + 0 -48 + -3w = -39 Add '48' to each side of the equation. -48 + 48 + -3w = -39 + 48 Combine like terms: -48 + 48 = 0 0 + -3w = -39 + 48 -3w = -39 + 48 Combine like terms: -39 + 48 = 9 -3w = 9 Divide each side by '-3'. w = -3 Simplifying w = -3
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