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Simplifying 7w + -48 = -8(w + -9) Reorder the terms: -48 + 7w = -8(w + -9) Reorder the terms: -48 + 7w = -8(-9 + w) -48 + 7w = (-9 * -8 + w * -8) -48 + 7w = (72 + -8w) Solving -48 + 7w = 72 + -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. -48 + 7w + 8w = 72 + -8w + 8w Combine like terms: 7w + 8w = 15w -48 + 15w = 72 + -8w + 8w Combine like terms: -8w + 8w = 0 -48 + 15w = 72 + 0 -48 + 15w = 72 Add '48' to each side of the equation. -48 + 48 + 15w = 72 + 48 Combine like terms: -48 + 48 = 0 0 + 15w = 72 + 48 15w = 72 + 48 Combine like terms: 72 + 48 = 120 15w = 120 Divide each side by '15'. w = 8 Simplifying w = 8
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