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Simplifying 8 + 6(3w + -1) = 3(2w + -4) + 9w Reorder the terms: 8 + 6(-1 + 3w) = 3(2w + -4) + 9w 8 + (-1 * 6 + 3w * 6) = 3(2w + -4) + 9w 8 + (-6 + 18w) = 3(2w + -4) + 9w Combine like terms: 8 + -6 = 2 2 + 18w = 3(2w + -4) + 9w Reorder the terms: 2 + 18w = 3(-4 + 2w) + 9w 2 + 18w = (-4 * 3 + 2w * 3) + 9w 2 + 18w = (-12 + 6w) + 9w Combine like terms: 6w + 9w = 15w 2 + 18w = -12 + 15w Solving 2 + 18w = -12 + 15w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-15w' to each side of the equation. 2 + 18w + -15w = -12 + 15w + -15w Combine like terms: 18w + -15w = 3w 2 + 3w = -12 + 15w + -15w Combine like terms: 15w + -15w = 0 2 + 3w = -12 + 0 2 + 3w = -12 Add '-2' to each side of the equation. 2 + -2 + 3w = -12 + -2 Combine like terms: 2 + -2 = 0 0 + 3w = -12 + -2 3w = -12 + -2 Combine like terms: -12 + -2 = -14 3w = -14 Divide each side by '3'. w = -4.666666667 Simplifying w = -4.666666667
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