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Simplifying -3w + 15 = -6(w + -3) Reorder the terms: 15 + -3w = -6(w + -3) Reorder the terms: 15 + -3w = -6(-3 + w) 15 + -3w = (-3 * -6 + w * -6) 15 + -3w = (18 + -6w) Solving 15 + -3w = 18 + -6w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '6w' to each side of the equation. 15 + -3w + 6w = 18 + -6w + 6w Combine like terms: -3w + 6w = 3w 15 + 3w = 18 + -6w + 6w Combine like terms: -6w + 6w = 0 15 + 3w = 18 + 0 15 + 3w = 18 Add '-15' to each side of the equation. 15 + -15 + 3w = 18 + -15 Combine like terms: 15 + -15 = 0 0 + 3w = 18 + -15 3w = 18 + -15 Combine like terms: 18 + -15 = 3 3w = 3 Divide each side by '3'. w = 1 Simplifying w = 1
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