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Simplifying -6w + -13 = 5(w + -7) Reorder the terms: -13 + -6w = 5(w + -7) Reorder the terms: -13 + -6w = 5(-7 + w) -13 + -6w = (-7 * 5 + w * 5) -13 + -6w = (-35 + 5w) Solving -13 + -6w = -35 + 5w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-5w' to each side of the equation. -13 + -6w + -5w = -35 + 5w + -5w Combine like terms: -6w + -5w = -11w -13 + -11w = -35 + 5w + -5w Combine like terms: 5w + -5w = 0 -13 + -11w = -35 + 0 -13 + -11w = -35 Add '13' to each side of the equation. -13 + 13 + -11w = -35 + 13 Combine like terms: -13 + 13 = 0 0 + -11w = -35 + 13 -11w = -35 + 13 Combine like terms: -35 + 13 = -22 -11w = -22 Divide each side by '-11'. w = 2 Simplifying w = 2
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