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