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Simplifying 6w + 15 = 3(w + -2) Reorder the terms: 15 + 6w = 3(w + -2) Reorder the terms: 15 + 6w = 3(-2 + w) 15 + 6w = (-2 * 3 + w * 3) 15 + 6w = (-6 + 3w) Solving 15 + 6w = -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 + 6w + -3w = -6 + 3w + -3w Combine like terms: 6w + -3w = 3w 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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