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Simplifying 7 + 2(4w + -2) = -2(4w + -9) + 4w Reorder the terms: 7 + 2(-2 + 4w) = -2(4w + -9) + 4w 7 + (-2 * 2 + 4w * 2) = -2(4w + -9) + 4w 7 + (-4 + 8w) = -2(4w + -9) + 4w Combine like terms: 7 + -4 = 3 3 + 8w = -2(4w + -9) + 4w Reorder the terms: 3 + 8w = -2(-9 + 4w) + 4w 3 + 8w = (-9 * -2 + 4w * -2) + 4w 3 + 8w = (18 + -8w) + 4w Combine like terms: -8w + 4w = -4w 3 + 8w = 18 + -4w Solving 3 + 8w = 18 + -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. 3 + 8w + 4w = 18 + -4w + 4w Combine like terms: 8w + 4w = 12w 3 + 12w = 18 + -4w + 4w Combine like terms: -4w + 4w = 0 3 + 12w = 18 + 0 3 + 12w = 18 Add '-3' to each side of the equation. 3 + -3 + 12w = 18 + -3 Combine like terms: 3 + -3 = 0 0 + 12w = 18 + -3 12w = 18 + -3 Combine like terms: 18 + -3 = 15 12w = 15 Divide each side by '12'. w = 1.25 Simplifying w = 1.25
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