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Simplifying 4(8w + 2) + -5(4w + 2) = 0 Reorder the terms: 4(2 + 8w) + -5(4w + 2) = 0 (2 * 4 + 8w * 4) + -5(4w + 2) = 0 (8 + 32w) + -5(4w + 2) = 0 Reorder the terms: 8 + 32w + -5(2 + 4w) = 0 8 + 32w + (2 * -5 + 4w * -5) = 0 8 + 32w + (-10 + -20w) = 0 Reorder the terms: 8 + -10 + 32w + -20w = 0 Combine like terms: 8 + -10 = -2 -2 + 32w + -20w = 0 Combine like terms: 32w + -20w = 12w -2 + 12w = 0 Solving -2 + 12w = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + 12w = 0 + 2 Combine like terms: -2 + 2 = 0 0 + 12w = 0 + 2 12w = 0 + 2 Combine like terms: 0 + 2 = 2 12w = 2 Divide each side by '12'. w = 0.1666666667 Simplifying w = 0.1666666667
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