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Simplifying 2(w + -7) = 3w Reorder the terms: 2(-7 + w) = 3w (-7 * 2 + w * 2) = 3w (-14 + 2w) = 3w Solving -14 + 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. -14 + 2w + -3w = 3w + -3w Combine like terms: 2w + -3w = -1w -14 + -1w = 3w + -3w Combine like terms: 3w + -3w = 0 -14 + -1w = 0 Add '14' to each side of the equation. -14 + 14 + -1w = 0 + 14 Combine like terms: -14 + 14 = 0 0 + -1w = 0 + 14 -1w = 0 + 14 Combine like terms: 0 + 14 = 14 -1w = 14 Divide each side by '-1'. w = -14 Simplifying w = -14
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