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Simplifying 2(6 + -9w) = 8(4w + 1) (6 * 2 + -9w * 2) = 8(4w + 1) (12 + -18w) = 8(4w + 1) Reorder the terms: 12 + -18w = 8(1 + 4w) 12 + -18w = (1 * 8 + 4w * 8) 12 + -18w = (8 + 32w) Solving 12 + -18w = 8 + 32w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-32w' to each side of the equation. 12 + -18w + -32w = 8 + 32w + -32w Combine like terms: -18w + -32w = -50w 12 + -50w = 8 + 32w + -32w Combine like terms: 32w + -32w = 0 12 + -50w = 8 + 0 12 + -50w = 8 Add '-12' to each side of the equation. 12 + -12 + -50w = 8 + -12 Combine like terms: 12 + -12 = 0 0 + -50w = 8 + -12 -50w = 8 + -12 Combine like terms: 8 + -12 = -4 -50w = -4 Divide each side by '-50'. w = 0.08 Simplifying w = 0.08
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