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Simplifying -6(-9w + -5) = -4(-12w + -18) Reorder the terms: -6(-5 + -9w) = -4(-12w + -18) (-5 * -6 + -9w * -6) = -4(-12w + -18) (30 + 54w) = -4(-12w + -18) Reorder the terms: 30 + 54w = -4(-18 + -12w) 30 + 54w = (-18 * -4 + -12w * -4) 30 + 54w = (72 + 48w) Solving 30 + 54w = 72 + 48w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-48w' to each side of the equation. 30 + 54w + -48w = 72 + 48w + -48w Combine like terms: 54w + -48w = 6w 30 + 6w = 72 + 48w + -48w Combine like terms: 48w + -48w = 0 30 + 6w = 72 + 0 30 + 6w = 72 Add '-30' to each side of the equation. 30 + -30 + 6w = 72 + -30 Combine like terms: 30 + -30 = 0 0 + 6w = 72 + -30 6w = 72 + -30 Combine like terms: 72 + -30 = 42 6w = 42 Divide each side by '6'. w = 7 Simplifying w = 7
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