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Simplifying 4 + -5(w + -5) = 2(3w + -13) Reorder the terms: 4 + -5(-5 + w) = 2(3w + -13) 4 + (-5 * -5 + w * -5) = 2(3w + -13) 4 + (25 + -5w) = 2(3w + -13) Combine like terms: 4 + 25 = 29 29 + -5w = 2(3w + -13) Reorder the terms: 29 + -5w = 2(-13 + 3w) 29 + -5w = (-13 * 2 + 3w * 2) 29 + -5w = (-26 + 6w) Solving 29 + -5w = -26 + 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. 29 + -5w + -6w = -26 + 6w + -6w Combine like terms: -5w + -6w = -11w 29 + -11w = -26 + 6w + -6w Combine like terms: 6w + -6w = 0 29 + -11w = -26 + 0 29 + -11w = -26 Add '-29' to each side of the equation. 29 + -29 + -11w = -26 + -29 Combine like terms: 29 + -29 = 0 0 + -11w = -26 + -29 -11w = -26 + -29 Combine like terms: -26 + -29 = -55 -11w = -55 Divide each side by '-11'. w = 5 Simplifying w = 5
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