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Simplifying 8w + -32 = 5(w + -7) Reorder the terms: -32 + 8w = 5(w + -7) Reorder the terms: -32 + 8w = 5(-7 + w) -32 + 8w = (-7 * 5 + w * 5) -32 + 8w = (-35 + 5w) Solving -32 + 8w = -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. -32 + 8w + -5w = -35 + 5w + -5w Combine like terms: 8w + -5w = 3w -32 + 3w = -35 + 5w + -5w Combine like terms: 5w + -5w = 0 -32 + 3w = -35 + 0 -32 + 3w = -35 Add '32' to each side of the equation. -32 + 32 + 3w = -35 + 32 Combine like terms: -32 + 32 = 0 0 + 3w = -35 + 32 3w = -35 + 32 Combine like terms: -35 + 32 = -3 3w = -3 Divide each side by '3'. w = -1 Simplifying w = -1
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