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Simplifying 3(2w + 1) = 5w + -3(5 + w) Reorder the terms: 3(1 + 2w) = 5w + -3(5 + w) (1 * 3 + 2w * 3) = 5w + -3(5 + w) (3 + 6w) = 5w + -3(5 + w) 3 + 6w = 5w + (5 * -3 + w * -3) 3 + 6w = 5w + (-15 + -3w) Reorder the terms: 3 + 6w = -15 + 5w + -3w Combine like terms: 5w + -3w = 2w 3 + 6w = -15 + 2w Solving 3 + 6w = -15 + 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. 3 + 6w + -2w = -15 + 2w + -2w Combine like terms: 6w + -2w = 4w 3 + 4w = -15 + 2w + -2w Combine like terms: 2w + -2w = 0 3 + 4w = -15 + 0 3 + 4w = -15 Add '-3' to each side of the equation. 3 + -3 + 4w = -15 + -3 Combine like terms: 3 + -3 = 0 0 + 4w = -15 + -3 4w = -15 + -3 Combine like terms: -15 + -3 = -18 4w = -18 Divide each side by '4'. w = -4.5 Simplifying w = -4.5
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