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