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Simplifying -5(w + -3) = -3w + 7 Reorder the terms: -5(-3 + w) = -3w + 7 (-3 * -5 + w * -5) = -3w + 7 (15 + -5w) = -3w + 7 Reorder the terms: 15 + -5w = 7 + -3w Solving 15 + -5w = 7 + -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 + -5w + 3w = 7 + -3w + 3w Combine like terms: -5w + 3w = -2w 15 + -2w = 7 + -3w + 3w Combine like terms: -3w + 3w = 0 15 + -2w = 7 + 0 15 + -2w = 7 Add '-15' to each side of the equation. 15 + -15 + -2w = 7 + -15 Combine like terms: 15 + -15 = 0 0 + -2w = 7 + -15 -2w = 7 + -15 Combine like terms: 7 + -15 = -8 -2w = -8 Divide each side by '-2'. w = 4 Simplifying w = 4
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