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Simplifying 4(4 + -1w) = 3(3w + 2) (4 * 4 + -1w * 4) = 3(3w + 2) (16 + -4w) = 3(3w + 2) Reorder the terms: 16 + -4w = 3(2 + 3w) 16 + -4w = (2 * 3 + 3w * 3) 16 + -4w = (6 + 9w) Solving 16 + -4w = 6 + 9w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-9w' to each side of the equation. 16 + -4w + -9w = 6 + 9w + -9w Combine like terms: -4w + -9w = -13w 16 + -13w = 6 + 9w + -9w Combine like terms: 9w + -9w = 0 16 + -13w = 6 + 0 16 + -13w = 6 Add '-16' to each side of the equation. 16 + -16 + -13w = 6 + -16 Combine like terms: 16 + -16 = 0 0 + -13w = 6 + -16 -13w = 6 + -16 Combine like terms: 6 + -16 = -10 -13w = -10 Divide each side by '-13'. w = 0.7692307692 Simplifying w = 0.7692307692
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