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Simplifying 8w + 7 = -3w + -4 Reorder the terms: 7 + 8w = -3w + -4 Reorder the terms: 7 + 8w = -4 + -3w Solving 7 + 8w = -4 + -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. 7 + 8w + 3w = -4 + -3w + 3w Combine like terms: 8w + 3w = 11w 7 + 11w = -4 + -3w + 3w Combine like terms: -3w + 3w = 0 7 + 11w = -4 + 0 7 + 11w = -4 Add '-7' to each side of the equation. 7 + -7 + 11w = -4 + -7 Combine like terms: 7 + -7 = 0 0 + 11w = -4 + -7 11w = -4 + -7 Combine like terms: -4 + -7 = -11 11w = -11 Divide each side by '11'. w = -1 Simplifying w = -1
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