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Simplifying 3(2w + 1) = 3w + -15 Reorder the terms: 3(1 + 2w) = 3w + -15 (1 * 3 + 2w * 3) = 3w + -15 (3 + 6w) = 3w + -15 Reorder the terms: 3 + 6w = -15 + 3w Solving 3 + 6w = -15 + 3w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-3w' to each side of the equation. 3 + 6w + -3w = -15 + 3w + -3w Combine like terms: 6w + -3w = 3w 3 + 3w = -15 + 3w + -3w Combine like terms: 3w + -3w = 0 3 + 3w = -15 + 0 3 + 3w = -15 Add '-3' to each side of the equation. 3 + -3 + 3w = -15 + -3 Combine like terms: 3 + -3 = 0 0 + 3w = -15 + -3 3w = -15 + -3 Combine like terms: -15 + -3 = -18 3w = -18 Divide each side by '3'. w = -6 Simplifying w = -6
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