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Simplifying -13 = -3w + 5(w + -5) Reorder the terms: -13 = -3w + 5(-5 + w) -13 = -3w + (-5 * 5 + w * 5) -13 = -3w + (-25 + 5w) Reorder the terms: -13 = -25 + -3w + 5w Combine like terms: -3w + 5w = 2w -13 = -25 + 2w Solving -13 = -25 + 2w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-2w' to each side of the equation. -13 + -2w = -25 + 2w + -2w Combine like terms: 2w + -2w = 0 -13 + -2w = -25 + 0 -13 + -2w = -25 Add '13' to each side of the equation. -13 + 13 + -2w = -25 + 13 Combine like terms: -13 + 13 = 0 0 + -2w = -25 + 13 -2w = -25 + 13 Combine like terms: -25 + 13 = -12 -2w = -12 Divide each side by '-2'. w = 6 Simplifying w = 6
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