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Simplifying 7w + 2 = -4(w + -6) Reorder the terms: 2 + 7w = -4(w + -6) Reorder the terms: 2 + 7w = -4(-6 + w) 2 + 7w = (-6 * -4 + w * -4) 2 + 7w = (24 + -4w) Solving 2 + 7w = 24 + -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. 2 + 7w + 4w = 24 + -4w + 4w Combine like terms: 7w + 4w = 11w 2 + 11w = 24 + -4w + 4w Combine like terms: -4w + 4w = 0 2 + 11w = 24 + 0 2 + 11w = 24 Add '-2' to each side of the equation. 2 + -2 + 11w = 24 + -2 Combine like terms: 2 + -2 = 0 0 + 11w = 24 + -2 11w = 24 + -2 Combine like terms: 24 + -2 = 22 11w = 22 Divide each side by '11'. w = 2 Simplifying w = 2
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