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Simplifying 11 + 2(3w + -1) = 15w Reorder the terms: 11 + 2(-1 + 3w) = 15w 11 + (-1 * 2 + 3w * 2) = 15w 11 + (-2 + 6w) = 15w Combine like terms: 11 + -2 = 9 9 + 6w = 15w Solving 9 + 6w = 15w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-15w' to each side of the equation. 9 + 6w + -15w = 15w + -15w Combine like terms: 6w + -15w = -9w 9 + -9w = 15w + -15w Combine like terms: 15w + -15w = 0 9 + -9w = 0 Add '-9' to each side of the equation. 9 + -9 + -9w = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -9w = 0 + -9 -9w = 0 + -9 Combine like terms: 0 + -9 = -9 -9w = -9 Divide each side by '-9'. w = 1 Simplifying w = 1
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