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Simplifying 4(w + -2) = 12 + -1w Reorder the terms: 4(-2 + w) = 12 + -1w (-2 * 4 + w * 4) = 12 + -1w (-8 + 4w) = 12 + -1w Solving -8 + 4w = 12 + -1w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add 'w' to each side of the equation. -8 + 4w + w = 12 + -1w + w Combine like terms: 4w + w = 5w -8 + 5w = 12 + -1w + w Combine like terms: -1w + w = 0 -8 + 5w = 12 + 0 -8 + 5w = 12 Add '8' to each side of the equation. -8 + 8 + 5w = 12 + 8 Combine like terms: -8 + 8 = 0 0 + 5w = 12 + 8 5w = 12 + 8 Combine like terms: 12 + 8 = 20 5w = 20 Divide each side by '5'. w = 4 Simplifying w = 4
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