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Simplifying 9w + -8(w + -4) = 6(w + -2) Reorder the terms: 9w + -8(-4 + w) = 6(w + -2) 9w + (-4 * -8 + w * -8) = 6(w + -2) 9w + (32 + -8w) = 6(w + -2) Reorder the terms: 32 + 9w + -8w = 6(w + -2) Combine like terms: 9w + -8w = 1w 32 + 1w = 6(w + -2) Reorder the terms: 32 + 1w = 6(-2 + w) 32 + 1w = (-2 * 6 + w * 6) 32 + 1w = (-12 + 6w) Solving 32 + 1w = -12 + 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 + 1w + -6w = -12 + 6w + -6w Combine like terms: 1w + -6w = -5w 32 + -5w = -12 + 6w + -6w Combine like terms: 6w + -6w = 0 32 + -5w = -12 + 0 32 + -5w = -12 Add '-32' to each side of the equation. 32 + -32 + -5w = -12 + -32 Combine like terms: 32 + -32 = 0 0 + -5w = -12 + -32 -5w = -12 + -32 Combine like terms: -12 + -32 = -44 -5w = -44 Divide each side by '-5'. w = 8.8 Simplifying w = 8.8
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