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Simplifying 6(w + 7) = -2w + 18 Reorder the terms: 6(7 + w) = -2w + 18 (7 * 6 + w * 6) = -2w + 18 (42 + 6w) = -2w + 18 Reorder the terms: 42 + 6w = 18 + -2w Solving 42 + 6w = 18 + -2w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '2w' to each side of the equation. 42 + 6w + 2w = 18 + -2w + 2w Combine like terms: 6w + 2w = 8w 42 + 8w = 18 + -2w + 2w Combine like terms: -2w + 2w = 0 42 + 8w = 18 + 0 42 + 8w = 18 Add '-42' to each side of the equation. 42 + -42 + 8w = 18 + -42 Combine like terms: 42 + -42 = 0 0 + 8w = 18 + -42 8w = 18 + -42 Combine like terms: 18 + -42 = -24 8w = -24 Divide each side by '8'. w = -3 Simplifying w = -3
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