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Simplifying 6(w + -2) + 15 = 3w Reorder the terms: 6(-2 + w) + 15 = 3w (-2 * 6 + w * 6) + 15 = 3w (-12 + 6w) + 15 = 3w Reorder the terms: -12 + 15 + 6w = 3w Combine like terms: -12 + 15 = 3 3 + 6w = 3w Solving 3 + 6w = 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 = 3w + -3w Combine like terms: 6w + -3w = 3w 3 + 3w = 3w + -3w Combine like terms: 3w + -3w = 0 3 + 3w = 0 Add '-3' to each side of the equation. 3 + -3 + 3w = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 3w = 0 + -3 3w = 0 + -3 Combine like terms: 0 + -3 = -3 3w = -3 Divide each side by '3'. w = -1 Simplifying w = -1
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