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Simplifying 6 + -2(5w + 3) + 10w = -2(4w + 12) + 8 Reorder the terms: 6 + -2(3 + 5w) + 10w = -2(4w + 12) + 8 6 + (3 * -2 + 5w * -2) + 10w = -2(4w + 12) + 8 6 + (-6 + -10w) + 10w = -2(4w + 12) + 8 Combine like terms: 6 + -6 = 0 0 + -10w + 10w = -2(4w + 12) + 8 -10w + 10w = -2(4w + 12) + 8 Combine like terms: -10w + 10w = 0 0 = -2(4w + 12) + 8 Reorder the terms: 0 = -2(12 + 4w) + 8 0 = (12 * -2 + 4w * -2) + 8 0 = (-24 + -8w) + 8 Reorder the terms: 0 = -24 + 8 + -8w Combine like terms: -24 + 8 = -16 0 = -16 + -8w Solving 0 = -16 + -8w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '8w' to each side of the equation. 0 + 8w = -16 + -8w + 8w Remove the zero: 8w = -16 + -8w + 8w Combine like terms: -8w + 8w = 0 8w = -16 + 0 8w = -16 Divide each side by '8'. w = -2 Simplifying w = -2
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