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Simplifying -6w + 15 = -3(3w + -4) Reorder the terms: 15 + -6w = -3(3w + -4) Reorder the terms: 15 + -6w = -3(-4 + 3w) 15 + -6w = (-4 * -3 + 3w * -3) 15 + -6w = (12 + -9w) Solving 15 + -6w = 12 + -9w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '9w' to each side of the equation. 15 + -6w + 9w = 12 + -9w + 9w Combine like terms: -6w + 9w = 3w 15 + 3w = 12 + -9w + 9w Combine like terms: -9w + 9w = 0 15 + 3w = 12 + 0 15 + 3w = 12 Add '-15' to each side of the equation. 15 + -15 + 3w = 12 + -15 Combine like terms: 15 + -15 = 0 0 + 3w = 12 + -15 3w = 12 + -15 Combine like terms: 12 + -15 = -3 3w = -3 Divide each side by '3'. w = -1 Simplifying w = -1
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