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Simplifying 2(4w + -5) + -2(w + -7) = 0 Reorder the terms: 2(-5 + 4w) + -2(w + -7) = 0 (-5 * 2 + 4w * 2) + -2(w + -7) = 0 (-10 + 8w) + -2(w + -7) = 0 Reorder the terms: -10 + 8w + -2(-7 + w) = 0 -10 + 8w + (-7 * -2 + w * -2) = 0 -10 + 8w + (14 + -2w) = 0 Reorder the terms: -10 + 14 + 8w + -2w = 0 Combine like terms: -10 + 14 = 4 4 + 8w + -2w = 0 Combine like terms: 8w + -2w = 6w 4 + 6w = 0 Solving 4 + 6w = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + 6w = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 6w = 0 + -4 6w = 0 + -4 Combine like terms: 0 + -4 = -4 6w = -4 Divide each side by '6'. w = -0.6666666667 Simplifying w = -0.6666666667
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