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Simplifying 4(4 + -1w) = 3w + 2 (4 * 4 + -1w * 4) = 3w + 2 (16 + -4w) = 3w + 2 Reorder the terms: 16 + -4w = 2 + 3w Solving 16 + -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. 16 + -4w + -3w = 2 + 3w + -3w Combine like terms: -4w + -3w = -7w 16 + -7w = 2 + 3w + -3w Combine like terms: 3w + -3w = 0 16 + -7w = 2 + 0 16 + -7w = 2 Add '-16' to each side of the equation. 16 + -16 + -7w = 2 + -16 Combine like terms: 16 + -16 = 0 0 + -7w = 2 + -16 -7w = 2 + -16 Combine like terms: 2 + -16 = -14 -7w = -14 Divide each side by '-7'. w = 2 Simplifying w = 2
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