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Simplifying 8 + 2(2w + -6) = -2(7w + -4) + 3w Reorder the terms: 8 + 2(-6 + 2w) = -2(7w + -4) + 3w 8 + (-6 * 2 + 2w * 2) = -2(7w + -4) + 3w 8 + (-12 + 4w) = -2(7w + -4) + 3w Combine like terms: 8 + -12 = -4 -4 + 4w = -2(7w + -4) + 3w Reorder the terms: -4 + 4w = -2(-4 + 7w) + 3w -4 + 4w = (-4 * -2 + 7w * -2) + 3w -4 + 4w = (8 + -14w) + 3w Combine like terms: -14w + 3w = -11w -4 + 4w = 8 + -11w Solving -4 + 4w = 8 + -11w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '11w' to each side of the equation. -4 + 4w + 11w = 8 + -11w + 11w Combine like terms: 4w + 11w = 15w -4 + 15w = 8 + -11w + 11w Combine like terms: -11w + 11w = 0 -4 + 15w = 8 + 0 -4 + 15w = 8 Add '4' to each side of the equation. -4 + 4 + 15w = 8 + 4 Combine like terms: -4 + 4 = 0 0 + 15w = 8 + 4 15w = 8 + 4 Combine like terms: 8 + 4 = 12 15w = 12 Divide each side by '15'. w = 0.8 Simplifying w = 0.8
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