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Simplifying 2(4w + 6) = 0.66(12w + 18) Reorder the terms: 2(6 + 4w) = 0.66(12w + 18) (6 * 2 + 4w * 2) = 0.66(12w + 18) (12 + 8w) = 0.66(12w + 18) Reorder the terms: 12 + 8w = 0.66(18 + 12w) 12 + 8w = (18 * 0.66 + 12w * 0.66) 12 + 8w = (11.88 + 7.92w) Solving 12 + 8w = 11.88 + 7.92w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-7.92w' to each side of the equation. 12 + 8w + -7.92w = 11.88 + 7.92w + -7.92w Combine like terms: 8w + -7.92w = 0.08w 12 + 0.08w = 11.88 + 7.92w + -7.92w Combine like terms: 7.92w + -7.92w = 0.00 12 + 0.08w = 11.88 + 0.00 12 + 0.08w = 11.88 Add '-12' to each side of the equation. 12 + -12 + 0.08w = 11.88 + -12 Combine like terms: 12 + -12 = 0 0 + 0.08w = 11.88 + -12 0.08w = 11.88 + -12 Combine like terms: 11.88 + -12 = -0.12 0.08w = -0.12 Divide each side by '0.08'. w = -1.5 Simplifying w = -1.5
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