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Simplifying 9 + 2(4w + -1) = -4(3w + -1) + 8w Reorder the terms: 9 + 2(-1 + 4w) = -4(3w + -1) + 8w 9 + (-1 * 2 + 4w * 2) = -4(3w + -1) + 8w 9 + (-2 + 8w) = -4(3w + -1) + 8w Combine like terms: 9 + -2 = 7 7 + 8w = -4(3w + -1) + 8w Reorder the terms: 7 + 8w = -4(-1 + 3w) + 8w 7 + 8w = (-1 * -4 + 3w * -4) + 8w 7 + 8w = (4 + -12w) + 8w Combine like terms: -12w + 8w = -4w 7 + 8w = 4 + -4w Solving 7 + 8w = 4 + -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. 7 + 8w + 4w = 4 + -4w + 4w Combine like terms: 8w + 4w = 12w 7 + 12w = 4 + -4w + 4w Combine like terms: -4w + 4w = 0 7 + 12w = 4 + 0 7 + 12w = 4 Add '-7' to each side of the equation. 7 + -7 + 12w = 4 + -7 Combine like terms: 7 + -7 = 0 0 + 12w = 4 + -7 12w = 4 + -7 Combine like terms: 4 + -7 = -3 12w = -3 Divide each side by '12'. w = -0.25 Simplifying w = -0.25
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