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Simplifying -7(w + 2) = 4w + 30 Reorder the terms: -7(2 + w) = 4w + 30 (2 * -7 + w * -7) = 4w + 30 (-14 + -7w) = 4w + 30 Reorder the terms: -14 + -7w = 30 + 4w Solving -14 + -7w = 30 + 4w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-4w' to each side of the equation. -14 + -7w + -4w = 30 + 4w + -4w Combine like terms: -7w + -4w = -11w -14 + -11w = 30 + 4w + -4w Combine like terms: 4w + -4w = 0 -14 + -11w = 30 + 0 -14 + -11w = 30 Add '14' to each side of the equation. -14 + 14 + -11w = 30 + 14 Combine like terms: -14 + 14 = 0 0 + -11w = 30 + 14 -11w = 30 + 14 Combine like terms: 30 + 14 = 44 -11w = 44 Divide each side by '-11'. w = -4 Simplifying w = -4
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