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Simplifying -3w + -3 = 5(w + -7) Reorder the terms: -3 + -3w = 5(w + -7) Reorder the terms: -3 + -3w = 5(-7 + w) -3 + -3w = (-7 * 5 + w * 5) -3 + -3w = (-35 + 5w) Solving -3 + -3w = -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. -3 + -3w + -5w = -35 + 5w + -5w Combine like terms: -3w + -5w = -8w -3 + -8w = -35 + 5w + -5w Combine like terms: 5w + -5w = 0 -3 + -8w = -35 + 0 -3 + -8w = -35 Add '3' to each side of the equation. -3 + 3 + -8w = -35 + 3 Combine like terms: -3 + 3 = 0 0 + -8w = -35 + 3 -8w = -35 + 3 Combine like terms: -35 + 3 = -32 -8w = -32 Divide each side by '-8'. w = 4 Simplifying w = 4
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