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Simplifying -6w + 15 = -3(w + 5) Reorder the terms: 15 + -6w = -3(w + 5) Reorder the terms: 15 + -6w = -3(5 + w) 15 + -6w = (5 * -3 + w * -3) 15 + -6w = (-15 + -3w) Solving 15 + -6w = -15 + -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 = -15 + -3w + 3w Combine like terms: -6w + 3w = -3w 15 + -3w = -15 + -3w + 3w Combine like terms: -3w + 3w = 0 15 + -3w = -15 + 0 15 + -3w = -15 Add '-15' to each side of the equation. 15 + -15 + -3w = -15 + -15 Combine like terms: 15 + -15 = 0 0 + -3w = -15 + -15 -3w = -15 + -15 Combine like terms: -15 + -15 = -30 -3w = -30 Divide each side by '-3'. w = 10 Simplifying w = 10
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