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Simplifying 24 + -3 + -1(7w + -2) = 6 + -3(2w + -1) Reorder the terms: 24 + -3 + -1(-2 + 7w) = 6 + -3(2w + -1) 24 + -3 + (-2 * -1 + 7w * -1) = 6 + -3(2w + -1) 24 + -3 + (2 + -7w) = 6 + -3(2w + -1) Combine like terms: 24 + -3 = 21 21 + 2 + -7w = 6 + -3(2w + -1) Combine like terms: 21 + 2 = 23 23 + -7w = 6 + -3(2w + -1) Reorder the terms: 23 + -7w = 6 + -3(-1 + 2w) 23 + -7w = 6 + (-1 * -3 + 2w * -3) 23 + -7w = 6 + (3 + -6w) Combine like terms: 6 + 3 = 9 23 + -7w = 9 + -6w Solving 23 + -7w = 9 + -6w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '6w' to each side of the equation. 23 + -7w + 6w = 9 + -6w + 6w Combine like terms: -7w + 6w = -1w 23 + -1w = 9 + -6w + 6w Combine like terms: -6w + 6w = 0 23 + -1w = 9 + 0 23 + -1w = 9 Add '-23' to each side of the equation. 23 + -23 + -1w = 9 + -23 Combine like terms: 23 + -23 = 0 0 + -1w = 9 + -23 -1w = 9 + -23 Combine like terms: 9 + -23 = -14 -1w = -14 Divide each side by '-1'. w = 14 Simplifying w = 14
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