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Simplifying 1w + -2 = 6 + -1(2w + -4) Reorder the terms: -2 + 1w = 6 + -1(2w + -4) Reorder the terms: -2 + 1w = 6 + -1(-4 + 2w) -2 + 1w = 6 + (-4 * -1 + 2w * -1) -2 + 1w = 6 + (4 + -2w) Combine like terms: 6 + 4 = 10 -2 + 1w = 10 + -2w Solving -2 + 1w = 10 + -2w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '2w' to each side of the equation. -2 + 1w + 2w = 10 + -2w + 2w Combine like terms: 1w + 2w = 3w -2 + 3w = 10 + -2w + 2w Combine like terms: -2w + 2w = 0 -2 + 3w = 10 + 0 -2 + 3w = 10 Add '2' to each side of the equation. -2 + 2 + 3w = 10 + 2 Combine like terms: -2 + 2 = 0 0 + 3w = 10 + 2 3w = 10 + 2 Combine like terms: 10 + 2 = 12 3w = 12 Divide each side by '3'. w = 4 Simplifying w = 4
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