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Simplifying 3(2w + 1) = 5(1w + -2) Reorder the terms: 3(1 + 2w) = 5(1w + -2) (1 * 3 + 2w * 3) = 5(1w + -2) (3 + 6w) = 5(1w + -2) Reorder the terms: 3 + 6w = 5(-2 + 1w) 3 + 6w = (-2 * 5 + 1w * 5) 3 + 6w = (-10 + 5w) Solving 3 + 6w = -10 + 5w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-5w' to each side of the equation. 3 + 6w + -5w = -10 + 5w + -5w Combine like terms: 6w + -5w = 1w 3 + 1w = -10 + 5w + -5w Combine like terms: 5w + -5w = 0 3 + 1w = -10 + 0 3 + 1w = -10 Add '-3' to each side of the equation. 3 + -3 + 1w = -10 + -3 Combine like terms: 3 + -3 = 0 0 + 1w = -10 + -3 1w = -10 + -3 Combine like terms: -10 + -3 = -13 1w = -13 Divide each side by '1'. w = -13 Simplifying w = -13
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