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Simplifying 3(w + -6) + -6w = -39 Reorder the terms: 3(-6 + w) + -6w = -39 (-6 * 3 + w * 3) + -6w = -39 (-18 + 3w) + -6w = -39 Combine like terms: 3w + -6w = -3w -18 + -3w = -39 Solving -18 + -3w = -39 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '18' to each side of the equation. -18 + 18 + -3w = -39 + 18 Combine like terms: -18 + 18 = 0 0 + -3w = -39 + 18 -3w = -39 + 18 Combine like terms: -39 + 18 = -21 -3w = -21 Divide each side by '-3'. w = 7 Simplifying w = 7
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