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Simplifying 5w + -1(w + -8) = 9 + 3(2w + -3) Reorder the terms: 5w + -1(-8 + w) = 9 + 3(2w + -3) 5w + (-8 * -1 + w * -1) = 9 + 3(2w + -3) 5w + (8 + -1w) = 9 + 3(2w + -3) Reorder the terms: 8 + 5w + -1w = 9 + 3(2w + -3) Combine like terms: 5w + -1w = 4w 8 + 4w = 9 + 3(2w + -3) Reorder the terms: 8 + 4w = 9 + 3(-3 + 2w) 8 + 4w = 9 + (-3 * 3 + 2w * 3) 8 + 4w = 9 + (-9 + 6w) Combine like terms: 9 + -9 = 0 8 + 4w = 0 + 6w 8 + 4w = 6w Solving 8 + 4w = 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. 8 + 4w + -6w = 6w + -6w Combine like terms: 4w + -6w = -2w 8 + -2w = 6w + -6w Combine like terms: 6w + -6w = 0 8 + -2w = 0 Add '-8' to each side of the equation. 8 + -8 + -2w = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -2w = 0 + -8 -2w = 0 + -8 Combine like terms: 0 + -8 = -8 -2w = -8 Divide each side by '-2'. w = 4 Simplifying w = 4
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