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Simplifying 5(-6 + -3w) = 3(8 + 7w) (-6 * 5 + -3w * 5) = 3(8 + 7w) (-30 + -15w) = 3(8 + 7w) -30 + -15w = (8 * 3 + 7w * 3) -30 + -15w = (24 + 21w) Solving -30 + -15w = 24 + 21w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-21w' to each side of the equation. -30 + -15w + -21w = 24 + 21w + -21w Combine like terms: -15w + -21w = -36w -30 + -36w = 24 + 21w + -21w Combine like terms: 21w + -21w = 0 -30 + -36w = 24 + 0 -30 + -36w = 24 Add '30' to each side of the equation. -30 + 30 + -36w = 24 + 30 Combine like terms: -30 + 30 = 0 0 + -36w = 24 + 30 -36w = 24 + 30 Combine like terms: 24 + 30 = 54 -36w = 54 Divide each side by '-36'. w = -1.5 Simplifying w = -1.5
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