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Simplifying 9w + -48 = -4(w + -1) Reorder the terms: -48 + 9w = -4(w + -1) Reorder the terms: -48 + 9w = -4(-1 + w) -48 + 9w = (-1 * -4 + w * -4) -48 + 9w = (4 + -4w) Solving -48 + 9w = 4 + -4w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '4w' to each side of the equation. -48 + 9w + 4w = 4 + -4w + 4w Combine like terms: 9w + 4w = 13w -48 + 13w = 4 + -4w + 4w Combine like terms: -4w + 4w = 0 -48 + 13w = 4 + 0 -48 + 13w = 4 Add '48' to each side of the equation. -48 + 48 + 13w = 4 + 48 Combine like terms: -48 + 48 = 0 0 + 13w = 4 + 48 13w = 4 + 48 Combine like terms: 4 + 48 = 52 13w = 52 Divide each side by '13'. w = 4 Simplifying w = 4
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