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Simplifying 3w + -12 = 5(w + -12) Reorder the terms: -12 + 3w = 5(w + -12) Reorder the terms: -12 + 3w = 5(-12 + w) -12 + 3w = (-12 * 5 + w * 5) -12 + 3w = (-60 + 5w) Solving -12 + 3w = -60 + 5w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-5w' to each side of the equation. -12 + 3w + -5w = -60 + 5w + -5w Combine like terms: 3w + -5w = -2w -12 + -2w = -60 + 5w + -5w Combine like terms: 5w + -5w = 0 -12 + -2w = -60 + 0 -12 + -2w = -60 Add '12' to each side of the equation. -12 + 12 + -2w = -60 + 12 Combine like terms: -12 + 12 = 0 0 + -2w = -60 + 12 -2w = -60 + 12 Combine like terms: -60 + 12 = -48 -2w = -48 Divide each side by '-2'. w = 24 Simplifying w = 24
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