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Simplifying 6(w + 7) = -9w + -48 Reorder the terms: 6(7 + w) = -9w + -48 (7 * 6 + w * 6) = -9w + -48 (42 + 6w) = -9w + -48 Reorder the terms: 42 + 6w = -48 + -9w Solving 42 + 6w = -48 + -9w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '9w' to each side of the equation. 42 + 6w + 9w = -48 + -9w + 9w Combine like terms: 6w + 9w = 15w 42 + 15w = -48 + -9w + 9w Combine like terms: -9w + 9w = 0 42 + 15w = -48 + 0 42 + 15w = -48 Add '-42' to each side of the equation. 42 + -42 + 15w = -48 + -42 Combine like terms: 42 + -42 = 0 0 + 15w = -48 + -42 15w = -48 + -42 Combine like terms: -48 + -42 = -90 15w = -90 Divide each side by '15'. w = -6 Simplifying w = -6
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