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Simplifying 3(4w + 5) = 1(2w + -1) Reorder the terms: 3(5 + 4w) = 1(2w + -1) (5 * 3 + 4w * 3) = 1(2w + -1) (15 + 12w) = 1(2w + -1) Reorder the terms: 15 + 12w = 1(-1 + 2w) 15 + 12w = (-1 * 1 + 2w * 1) 15 + 12w = (-1 + 2w) Solving 15 + 12w = -1 + 2w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-2w' to each side of the equation. 15 + 12w + -2w = -1 + 2w + -2w Combine like terms: 12w + -2w = 10w 15 + 10w = -1 + 2w + -2w Combine like terms: 2w + -2w = 0 15 + 10w = -1 + 0 15 + 10w = -1 Add '-15' to each side of the equation. 15 + -15 + 10w = -1 + -15 Combine like terms: 15 + -15 = 0 0 + 10w = -1 + -15 10w = -1 + -15 Combine like terms: -1 + -15 = -16 10w = -16 Divide each side by '10'. w = -1.6 Simplifying w = -1.6
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