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Simplifying 3(4w + 1) + -5(3w + -2) = 0 Reorder the terms: 3(1 + 4w) + -5(3w + -2) = 0 (1 * 3 + 4w * 3) + -5(3w + -2) = 0 (3 + 12w) + -5(3w + -2) = 0 Reorder the terms: 3 + 12w + -5(-2 + 3w) = 0 3 + 12w + (-2 * -5 + 3w * -5) = 0 3 + 12w + (10 + -15w) = 0 Reorder the terms: 3 + 10 + 12w + -15w = 0 Combine like terms: 3 + 10 = 13 13 + 12w + -15w = 0 Combine like terms: 12w + -15w = -3w 13 + -3w = 0 Solving 13 + -3w = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-13' to each side of the equation. 13 + -13 + -3w = 0 + -13 Combine like terms: 13 + -13 = 0 0 + -3w = 0 + -13 -3w = 0 + -13 Combine like terms: 0 + -13 = -13 -3w = -13 Divide each side by '-3'. w = 4.333333333 Simplifying w = 4.333333333
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