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Simplifying -3(-4w + 9) + -6w = 2(w + -8) + -1 Reorder the terms: -3(9 + -4w) + -6w = 2(w + -8) + -1 (9 * -3 + -4w * -3) + -6w = 2(w + -8) + -1 (-27 + 12w) + -6w = 2(w + -8) + -1 Combine like terms: 12w + -6w = 6w -27 + 6w = 2(w + -8) + -1 Reorder the terms: -27 + 6w = 2(-8 + w) + -1 -27 + 6w = (-8 * 2 + w * 2) + -1 -27 + 6w = (-16 + 2w) + -1 Reorder the terms: -27 + 6w = -16 + -1 + 2w Combine like terms: -16 + -1 = -17 -27 + 6w = -17 + 2w Solving -27 + 6w = -17 + 2w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-2w' to each side of the equation. -27 + 6w + -2w = -17 + 2w + -2w Combine like terms: 6w + -2w = 4w -27 + 4w = -17 + 2w + -2w Combine like terms: 2w + -2w = 0 -27 + 4w = -17 + 0 -27 + 4w = -17 Add '27' to each side of the equation. -27 + 27 + 4w = -17 + 27 Combine like terms: -27 + 27 = 0 0 + 4w = -17 + 27 4w = -17 + 27 Combine like terms: -17 + 27 = 10 4w = 10 Divide each side by '4'. w = 2.5 Simplifying w = 2.5
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