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Simplifying 4(4 + -1w) = 3(2x + 2) (4 * 4 + -1w * 4) = 3(2x + 2) (16 + -4w) = 3(2x + 2) Reorder the terms: 16 + -4w = 3(2 + 2x) 16 + -4w = (2 * 3 + 2x * 3) 16 + -4w = (6 + 6x) Solving 16 + -4w = 6 + 6x Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-16' to each side of the equation. 16 + -16 + -4w = 6 + -16 + 6x Combine like terms: 16 + -16 = 0 0 + -4w = 6 + -16 + 6x -4w = 6 + -16 + 6x Combine like terms: 6 + -16 = -10 -4w = -10 + 6x Divide each side by '-4'. w = 2.5 + -1.5x Simplifying w = 2.5 + -1.5x
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