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Simplifying 8w + 30 = -3(w + 1) Reorder the terms: 30 + 8w = -3(w + 1) Reorder the terms: 30 + 8w = -3(1 + w) 30 + 8w = (1 * -3 + w * -3) 30 + 8w = (-3 + -3w) Solving 30 + 8w = -3 + -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. 30 + 8w + 3w = -3 + -3w + 3w Combine like terms: 8w + 3w = 11w 30 + 11w = -3 + -3w + 3w Combine like terms: -3w + 3w = 0 30 + 11w = -3 + 0 30 + 11w = -3 Add '-30' to each side of the equation. 30 + -30 + 11w = -3 + -30 Combine like terms: 30 + -30 = 0 0 + 11w = -3 + -30 11w = -3 + -30 Combine like terms: -3 + -30 = -33 11w = -33 Divide each side by '11'. w = -3 Simplifying w = -3
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