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Simplifying 7w + -5 = -8(w + -5) Reorder the terms: -5 + 7w = -8(w + -5) Reorder the terms: -5 + 7w = -8(-5 + w) -5 + 7w = (-5 * -8 + w * -8) -5 + 7w = (40 + -8w) Solving -5 + 7w = 40 + -8w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '8w' to each side of the equation. -5 + 7w + 8w = 40 + -8w + 8w Combine like terms: 7w + 8w = 15w -5 + 15w = 40 + -8w + 8w Combine like terms: -8w + 8w = 0 -5 + 15w = 40 + 0 -5 + 15w = 40 Add '5' to each side of the equation. -5 + 5 + 15w = 40 + 5 Combine like terms: -5 + 5 = 0 0 + 15w = 40 + 5 15w = 40 + 5 Combine like terms: 40 + 5 = 45 15w = 45 Divide each side by '15'. w = 3 Simplifying w = 3
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