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Simplifying 4(3 + -1w) = 3w + -2 (3 * 4 + -1w * 4) = 3w + -2 (12 + -4w) = 3w + -2 Reorder the terms: 12 + -4w = -2 + 3w Solving 12 + -4w = -2 + 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. 12 + -4w + -3w = -2 + 3w + -3w Combine like terms: -4w + -3w = -7w 12 + -7w = -2 + 3w + -3w Combine like terms: 3w + -3w = 0 12 + -7w = -2 + 0 12 + -7w = -2 Add '-12' to each side of the equation. 12 + -12 + -7w = -2 + -12 Combine like terms: 12 + -12 = 0 0 + -7w = -2 + -12 -7w = -2 + -12 Combine like terms: -2 + -12 = -14 -7w = -14 Divide each side by '-7'. w = 2 Simplifying w = 2
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