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Simplifying -5w + 48 = 3(w + -8) Reorder the terms: 48 + -5w = 3(w + -8) Reorder the terms: 48 + -5w = 3(-8 + w) 48 + -5w = (-8 * 3 + w * 3) 48 + -5w = (-24 + 3w) Solving 48 + -5w = -24 + 3w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-3w' to each side of the equation. 48 + -5w + -3w = -24 + 3w + -3w Combine like terms: -5w + -3w = -8w 48 + -8w = -24 + 3w + -3w Combine like terms: 3w + -3w = 0 48 + -8w = -24 + 0 48 + -8w = -24 Add '-48' to each side of the equation. 48 + -48 + -8w = -24 + -48 Combine like terms: 48 + -48 = 0 0 + -8w = -24 + -48 -8w = -24 + -48 Combine like terms: -24 + -48 = -72 -8w = -72 Divide each side by '-8'. w = 9 Simplifying w = 9
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