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Simplifying -1[3] * w + 11 = -1[8] * w + 51 Multiply -1 * 3 -3w + 11 = -1[8] * w + 51 Reorder the terms: 11 + -3w = -1[8] * w + 51 Multiply -1 * 8 11 + -3w = -8w + 51 Reorder the terms: 11 + -3w = 51 + -8w Solving 11 + -3w = 51 + -8w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '8w' to each side of the equation. 11 + -3w + 8w = 51 + -8w + 8w Combine like terms: -3w + 8w = 5w 11 + 5w = 51 + -8w + 8w Combine like terms: -8w + 8w = 0 11 + 5w = 51 + 0 11 + 5w = 51 Add '-11' to each side of the equation. 11 + -11 + 5w = 51 + -11 Combine like terms: 11 + -11 = 0 0 + 5w = 51 + -11 5w = 51 + -11 Combine like terms: 51 + -11 = 40 5w = 40 Divide each side by '5'. w = 8 Simplifying w = 8
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