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Simplifying 7w + -3 + -1(4w + -8) = 0 Reorder the terms: 7w + -3 + -1(-8 + 4w) = 0 7w + -3 + (-8 * -1 + 4w * -1) = 0 7w + -3 + (8 + -4w) = 0 Reorder the terms: -3 + 8 + 7w + -4w = 0 Combine like terms: -3 + 8 = 5 5 + 7w + -4w = 0 Combine like terms: 7w + -4w = 3w 5 + 3w = 0 Solving 5 + 3w = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + 3w = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 3w = 0 + -5 3w = 0 + -5 Combine like terms: 0 + -5 = -5 3w = -5 Divide each side by '3'. w = -1.666666667 Simplifying w = -1.666666667
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