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