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Simplifying 5w + -8(w + -4) = 6(w + -9) Reorder the terms: 5w + -8(-4 + w) = 6(w + -9) 5w + (-4 * -8 + w * -8) = 6(w + -9) 5w + (32 + -8w) = 6(w + -9) Reorder the terms: 32 + 5w + -8w = 6(w + -9) Combine like terms: 5w + -8w = -3w 32 + -3w = 6(w + -9) Reorder the terms: 32 + -3w = 6(-9 + w) 32 + -3w = (-9 * 6 + w * 6) 32 + -3w = (-54 + 6w) Solving 32 + -3w = -54 + 6w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-6w' to each side of the equation. 32 + -3w + -6w = -54 + 6w + -6w Combine like terms: -3w + -6w = -9w 32 + -9w = -54 + 6w + -6w Combine like terms: 6w + -6w = 0 32 + -9w = -54 + 0 32 + -9w = -54 Add '-32' to each side of the equation. 32 + -32 + -9w = -54 + -32 Combine like terms: 32 + -32 = 0 0 + -9w = -54 + -32 -9w = -54 + -32 Combine like terms: -54 + -32 = -86 -9w = -86 Divide each side by '-9'. w = 9.555555556 Simplifying w = 9.555555556
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