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Simplifying -4(-6w + 6) + -1w = 5(w + -5) + -8 Reorder the terms: -4(6 + -6w) + -1w = 5(w + -5) + -8 (6 * -4 + -6w * -4) + -1w = 5(w + -5) + -8 (-24 + 24w) + -1w = 5(w + -5) + -8 Combine like terms: 24w + -1w = 23w -24 + 23w = 5(w + -5) + -8 Reorder the terms: -24 + 23w = 5(-5 + w) + -8 -24 + 23w = (-5 * 5 + w * 5) + -8 -24 + 23w = (-25 + 5w) + -8 Reorder the terms: -24 + 23w = -25 + -8 + 5w Combine like terms: -25 + -8 = -33 -24 + 23w = -33 + 5w Solving -24 + 23w = -33 + 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. -24 + 23w + -5w = -33 + 5w + -5w Combine like terms: 23w + -5w = 18w -24 + 18w = -33 + 5w + -5w Combine like terms: 5w + -5w = 0 -24 + 18w = -33 + 0 -24 + 18w = -33 Add '24' to each side of the equation. -24 + 24 + 18w = -33 + 24 Combine like terms: -24 + 24 = 0 0 + 18w = -33 + 24 18w = -33 + 24 Combine like terms: -33 + 24 = -9 18w = -9 Divide each side by '18'. w = -0.5 Simplifying w = -0.5
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