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Simplifying -13 = 2(w + -5) + -5w Reorder the terms: -13 = 2(-5 + w) + -5w -13 = (-5 * 2 + w * 2) + -5w -13 = (-10 + 2w) + -5w Combine like terms: 2w + -5w = -3w -13 = -10 + -3w Solving -13 = -10 + -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. -13 + 3w = -10 + -3w + 3w Combine like terms: -3w + 3w = 0 -13 + 3w = -10 + 0 -13 + 3w = -10 Add '13' to each side of the equation. -13 + 13 + 3w = -10 + 13 Combine like terms: -13 + 13 = 0 0 + 3w = -10 + 13 3w = -10 + 13 Combine like terms: -10 + 13 = 3 3w = 3 Divide each side by '3'. w = 1 Simplifying w = 1
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