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Simplifying 7(w + 6) = 2w + -3 Reorder the terms: 7(6 + w) = 2w + -3 (6 * 7 + w * 7) = 2w + -3 (42 + 7w) = 2w + -3 Reorder the terms: 42 + 7w = -3 + 2w Solving 42 + 7w = -3 + 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 + 7w + -2w = -3 + 2w + -2w Combine like terms: 7w + -2w = 5w 42 + 5w = -3 + 2w + -2w Combine like terms: 2w + -2w = 0 42 + 5w = -3 + 0 42 + 5w = -3 Add '-42' to each side of the equation. 42 + -42 + 5w = -3 + -42 Combine like terms: 42 + -42 = 0 0 + 5w = -3 + -42 5w = -3 + -42 Combine like terms: -3 + -42 = -45 5w = -45 Divide each side by '5'. w = -9 Simplifying w = -9
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