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Simplifying 9 + 3(5w + -4) = -2(2w + -6) + 7w Reorder the terms: 9 + 3(-4 + 5w) = -2(2w + -6) + 7w 9 + (-4 * 3 + 5w * 3) = -2(2w + -6) + 7w 9 + (-12 + 15w) = -2(2w + -6) + 7w Combine like terms: 9 + -12 = -3 -3 + 15w = -2(2w + -6) + 7w Reorder the terms: -3 + 15w = -2(-6 + 2w) + 7w -3 + 15w = (-6 * -2 + 2w * -2) + 7w -3 + 15w = (12 + -4w) + 7w Combine like terms: -4w + 7w = 3w -3 + 15w = 12 + 3w Solving -3 + 15w = 12 + 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. -3 + 15w + -3w = 12 + 3w + -3w Combine like terms: 15w + -3w = 12w -3 + 12w = 12 + 3w + -3w Combine like terms: 3w + -3w = 0 -3 + 12w = 12 + 0 -3 + 12w = 12 Add '3' to each side of the equation. -3 + 3 + 12w = 12 + 3 Combine like terms: -3 + 3 = 0 0 + 12w = 12 + 3 12w = 12 + 3 Combine like terms: 12 + 3 = 15 12w = 15 Divide each side by '12'. w = 1.25 Simplifying w = 1.25
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