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Simplifying 3w + -3 + -1(2w + 2) = 8 Reorder the terms: 3w + -3 + -1(2 + 2w) = 8 3w + -3 + (2 * -1 + 2w * -1) = 8 3w + -3 + (-2 + -2w) = 8 Reorder the terms: -3 + -2 + 3w + -2w = 8 Combine like terms: -3 + -2 = -5 -5 + 3w + -2w = 8 Combine like terms: 3w + -2w = 1w -5 + 1w = 8 Solving -5 + 1w = 8 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + 1w = 8 + 5 Combine like terms: -5 + 5 = 0 0 + 1w = 8 + 5 1w = 8 + 5 Combine like terms: 8 + 5 = 13 1w = 13 Divide each side by '1'. w = 13 Simplifying w = 13
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