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Simplifying 6(w + 7) = -4w + -38 Reorder the terms: 6(7 + w) = -4w + -38 (7 * 6 + w * 6) = -4w + -38 (42 + 6w) = -4w + -38 Reorder the terms: 42 + 6w = -38 + -4w Solving 42 + 6w = -38 + -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. 42 + 6w + 4w = -38 + -4w + 4w Combine like terms: 6w + 4w = 10w 42 + 10w = -38 + -4w + 4w Combine like terms: -4w + 4w = 0 42 + 10w = -38 + 0 42 + 10w = -38 Add '-42' to each side of the equation. 42 + -42 + 10w = -38 + -42 Combine like terms: 42 + -42 = 0 0 + 10w = -38 + -42 10w = -38 + -42 Combine like terms: -38 + -42 = -80 10w = -80 Divide each side by '10'. w = -8 Simplifying w = -8
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