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