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Simplifying 4(4 + -1w) = 2(-5 + 4y) (4 * 4 + -1w * 4) = 2(-5 + 4y) (16 + -4w) = 2(-5 + 4y) 16 + -4w = (-5 * 2 + 4y * 2) 16 + -4w = (-10 + 8y) Solving 16 + -4w = -10 + 8y 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 = -10 + -16 + 8y Combine like terms: 16 + -16 = 0 0 + -4w = -10 + -16 + 8y -4w = -10 + -16 + 8y Combine like terms: -10 + -16 = -26 -4w = -26 + 8y Divide each side by '-4'. w = 6.5 + -2y Simplifying w = 6.5 + -2y
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