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Simplifying 4(3w + -3) + -2(4w + 7) = 0 Reorder the terms: 4(-3 + 3w) + -2(4w + 7) = 0 (-3 * 4 + 3w * 4) + -2(4w + 7) = 0 (-12 + 12w) + -2(4w + 7) = 0 Reorder the terms: -12 + 12w + -2(7 + 4w) = 0 -12 + 12w + (7 * -2 + 4w * -2) = 0 -12 + 12w + (-14 + -8w) = 0 Reorder the terms: -12 + -14 + 12w + -8w = 0 Combine like terms: -12 + -14 = -26 -26 + 12w + -8w = 0 Combine like terms: 12w + -8w = 4w -26 + 4w = 0 Solving -26 + 4w = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '26' to each side of the equation. -26 + 26 + 4w = 0 + 26 Combine like terms: -26 + 26 = 0 0 + 4w = 0 + 26 4w = 0 + 26 Combine like terms: 0 + 26 = 26 4w = 26 Divide each side by '4'. w = 6.5 Simplifying w = 6.5
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