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Simplifying 3w + -9(w + -5) = 4(w + -8) Reorder the terms: 3w + -9(-5 + w) = 4(w + -8) 3w + (-5 * -9 + w * -9) = 4(w + -8) 3w + (45 + -9w) = 4(w + -8) Reorder the terms: 45 + 3w + -9w = 4(w + -8) Combine like terms: 3w + -9w = -6w 45 + -6w = 4(w + -8) Reorder the terms: 45 + -6w = 4(-8 + w) 45 + -6w = (-8 * 4 + w * 4) 45 + -6w = (-32 + 4w) Solving 45 + -6w = -32 + 4w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-4w' to each side of the equation. 45 + -6w + -4w = -32 + 4w + -4w Combine like terms: -6w + -4w = -10w 45 + -10w = -32 + 4w + -4w Combine like terms: 4w + -4w = 0 45 + -10w = -32 + 0 45 + -10w = -32 Add '-45' to each side of the equation. 45 + -45 + -10w = -32 + -45 Combine like terms: 45 + -45 = 0 0 + -10w = -32 + -45 -10w = -32 + -45 Combine like terms: -32 + -45 = -77 -10w = -77 Divide each side by '-10'. w = 7.7 Simplifying w = 7.7
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