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Simplifying -5w + -45 = 5(w + -1) Reorder the terms: -45 + -5w = 5(w + -1) Reorder the terms: -45 + -5w = 5(-1 + w) -45 + -5w = (-1 * 5 + w * 5) -45 + -5w = (-5 + 5w) Solving -45 + -5w = -5 + 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. -45 + -5w + -5w = -5 + 5w + -5w Combine like terms: -5w + -5w = -10w -45 + -10w = -5 + 5w + -5w Combine like terms: 5w + -5w = 0 -45 + -10w = -5 + 0 -45 + -10w = -5 Add '45' to each side of the equation. -45 + 45 + -10w = -5 + 45 Combine like terms: -45 + 45 = 0 0 + -10w = -5 + 45 -10w = -5 + 45 Combine like terms: -5 + 45 = 40 -10w = 40 Divide each side by '-10'. w = -4 Simplifying w = -4
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