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Simplifying -4w + -13 = 7(w + -5) Reorder the terms: -13 + -4w = 7(w + -5) Reorder the terms: -13 + -4w = 7(-5 + w) -13 + -4w = (-5 * 7 + w * 7) -13 + -4w = (-35 + 7w) Solving -13 + -4w = -35 + 7w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-7w' to each side of the equation. -13 + -4w + -7w = -35 + 7w + -7w Combine like terms: -4w + -7w = -11w -13 + -11w = -35 + 7w + -7w Combine like terms: 7w + -7w = 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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