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Simplifying 4w + -31 = -7(w + 6) Reorder the terms: -31 + 4w = -7(w + 6) Reorder the terms: -31 + 4w = -7(6 + w) -31 + 4w = (6 * -7 + w * -7) -31 + 4w = (-42 + -7w) Solving -31 + 4w = -42 + -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. -31 + 4w + 7w = -42 + -7w + 7w Combine like terms: 4w + 7w = 11w -31 + 11w = -42 + -7w + 7w Combine like terms: -7w + 7w = 0 -31 + 11w = -42 + 0 -31 + 11w = -42 Add '31' to each side of the equation. -31 + 31 + 11w = -42 + 31 Combine like terms: -31 + 31 = 0 0 + 11w = -42 + 31 11w = -42 + 31 Combine like terms: -42 + 31 = -11 11w = -11 Divide each side by '11'. w = -1 Simplifying w = -1
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