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Simplifying -6(w + 8) = -3w + -39 Reorder the terms: -6(8 + w) = -3w + -39 (8 * -6 + w * -6) = -3w + -39 (-48 + -6w) = -3w + -39 Reorder the terms: -48 + -6w = -39 + -3w Solving -48 + -6w = -39 + -3w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '3w' to each side of the equation. -48 + -6w + 3w = -39 + -3w + 3w Combine like terms: -6w + 3w = -3w -48 + -3w = -39 + -3w + 3w Combine like terms: -3w + 3w = 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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