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Simplifying 2(w + -6) = w + 3 Reorder the terms: 2(-6 + w) = w + 3 (-6 * 2 + w * 2) = w + 3 (-12 + 2w) = w + 3 Reorder the terms: -12 + 2w = 3 + w Solving -12 + 2w = 3 + w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-1w' to each side of the equation. -12 + 2w + -1w = 3 + w + -1w Combine like terms: 2w + -1w = 1w -12 + 1w = 3 + w + -1w Combine like terms: w + -1w = 0 -12 + 1w = 3 + 0 -12 + 1w = 3 Add '12' to each side of the equation. -12 + 12 + 1w = 3 + 12 Combine like terms: -12 + 12 = 0 0 + 1w = 3 + 12 1w = 3 + 12 Combine like terms: 3 + 12 = 15 1w = 15 Divide each side by '1'. w = 15 Simplifying w = 15
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