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Simplifying 8w + -5 = -7(w + 5) Reorder the terms: -5 + 8w = -7(w + 5) Reorder the terms: -5 + 8w = -7(5 + w) -5 + 8w = (5 * -7 + w * -7) -5 + 8w = (-35 + -7w) Solving -5 + 8w = -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. -5 + 8w + 7w = -35 + -7w + 7w Combine like terms: 8w + 7w = 15w -5 + 15w = -35 + -7w + 7w Combine like terms: -7w + 7w = 0 -5 + 15w = -35 + 0 -5 + 15w = -35 Add '5' to each side of the equation. -5 + 5 + 15w = -35 + 5 Combine like terms: -5 + 5 = 0 0 + 15w = -35 + 5 15w = -35 + 5 Combine like terms: -35 + 5 = -30 15w = -30 Divide each side by '15'. w = -2 Simplifying w = -2
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