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Simplifying 15 = -6w + 3(w + -2) Reorder the terms: 15 = -6w + 3(-2 + w) 15 = -6w + (-2 * 3 + w * 3) 15 = -6w + (-6 + 3w) Reorder the terms: 15 = -6 + -6w + 3w Combine like terms: -6w + 3w = -3w 15 = -6 + -3w Solving 15 = -6 + -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. 15 + 3w = -6 + -3w + 3w Combine like terms: -3w + 3w = 0 15 + 3w = -6 + 0 15 + 3w = -6 Add '-15' to each side of the equation. 15 + -15 + 3w = -6 + -15 Combine like terms: 15 + -15 = 0 0 + 3w = -6 + -15 3w = -6 + -15 Combine like terms: -6 + -15 = -21 3w = -21 Divide each side by '3'. w = -7 Simplifying w = -7
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