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Simplifying -4(-3w + 9) + -3w = 3(w + -8) + -3 Reorder the terms: -4(9 + -3w) + -3w = 3(w + -8) + -3 (9 * -4 + -3w * -4) + -3w = 3(w + -8) + -3 (-36 + 12w) + -3w = 3(w + -8) + -3 Combine like terms: 12w + -3w = 9w -36 + 9w = 3(w + -8) + -3 Reorder the terms: -36 + 9w = 3(-8 + w) + -3 -36 + 9w = (-8 * 3 + w * 3) + -3 -36 + 9w = (-24 + 3w) + -3 Reorder the terms: -36 + 9w = -24 + -3 + 3w Combine like terms: -24 + -3 = -27 -36 + 9w = -27 + 3w Solving -36 + 9w = -27 + 3w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-3w' to each side of the equation. -36 + 9w + -3w = -27 + 3w + -3w Combine like terms: 9w + -3w = 6w -36 + 6w = -27 + 3w + -3w Combine like terms: 3w + -3w = 0 -36 + 6w = -27 + 0 -36 + 6w = -27 Add '36' to each side of the equation. -36 + 36 + 6w = -27 + 36 Combine like terms: -36 + 36 = 0 0 + 6w = -27 + 36 6w = -27 + 36 Combine like terms: -27 + 36 = 9 6w = 9 Divide each side by '6'. w = 1.5 Simplifying w = 1.5
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