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Simplifying -3(w + 1) = 2w + -48 Reorder the terms: -3(1 + w) = 2w + -48 (1 * -3 + w * -3) = 2w + -48 (-3 + -3w) = 2w + -48 Reorder the terms: -3 + -3w = -48 + 2w Solving -3 + -3w = -48 + 2w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-2w' to each side of the equation. -3 + -3w + -2w = -48 + 2w + -2w Combine like terms: -3w + -2w = -5w -3 + -5w = -48 + 2w + -2w Combine like terms: 2w + -2w = 0 -3 + -5w = -48 + 0 -3 + -5w = -48 Add '3' to each side of the equation. -3 + 3 + -5w = -48 + 3 Combine like terms: -3 + 3 = 0 0 + -5w = -48 + 3 -5w = -48 + 3 Combine like terms: -48 + 3 = -45 -5w = -45 Divide each side by '-5'. w = 9 Simplifying w = 9
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