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Simplifying 7(w + 6) = -3w + -8 Reorder the terms: 7(6 + w) = -3w + -8 (6 * 7 + w * 7) = -3w + -8 (42 + 7w) = -3w + -8 Reorder the terms: 42 + 7w = -8 + -3w Solving 42 + 7w = -8 + -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. 42 + 7w + 3w = -8 + -3w + 3w Combine like terms: 7w + 3w = 10w 42 + 10w = -8 + -3w + 3w Combine like terms: -3w + 3w = 0 42 + 10w = -8 + 0 42 + 10w = -8 Add '-42' to each side of the equation. 42 + -42 + 10w = -8 + -42 Combine like terms: 42 + -42 = 0 0 + 10w = -8 + -42 10w = -8 + -42 Combine like terms: -8 + -42 = -50 10w = -50 Divide each side by '10'. w = -5 Simplifying w = -5
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