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Simplifying -3(w + 2) = 7w + 14 Reorder the terms: -3(2 + w) = 7w + 14 (2 * -3 + w * -3) = 7w + 14 (-6 + -3w) = 7w + 14 Reorder the terms: -6 + -3w = 14 + 7w Solving -6 + -3w = 14 + 7w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-7w' to each side of the equation. -6 + -3w + -7w = 14 + 7w + -7w Combine like terms: -3w + -7w = -10w -6 + -10w = 14 + 7w + -7w Combine like terms: 7w + -7w = 0 -6 + -10w = 14 + 0 -6 + -10w = 14 Add '6' to each side of the equation. -6 + 6 + -10w = 14 + 6 Combine like terms: -6 + 6 = 0 0 + -10w = 14 + 6 -10w = 14 + 6 Combine like terms: 14 + 6 = 20 -10w = 20 Divide each side by '-10'. w = -2 Simplifying w = -2
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