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Simplifying 5(w + -6) + 2(5w + 4) + 8 + -1w = 56 Reorder the terms: 5(-6 + w) + 2(5w + 4) + 8 + -1w = 56 (-6 * 5 + w * 5) + 2(5w + 4) + 8 + -1w = 56 (-30 + 5w) + 2(5w + 4) + 8 + -1w = 56 Reorder the terms: -30 + 5w + 2(4 + 5w) + 8 + -1w = 56 -30 + 5w + (4 * 2 + 5w * 2) + 8 + -1w = 56 -30 + 5w + (8 + 10w) + 8 + -1w = 56 Reorder the terms: -30 + 8 + 8 + 5w + 10w + -1w = 56 Combine like terms: -30 + 8 = -22 -22 + 8 + 5w + 10w + -1w = 56 Combine like terms: -22 + 8 = -14 -14 + 5w + 10w + -1w = 56 Combine like terms: 5w + 10w = 15w -14 + 15w + -1w = 56 Combine like terms: 15w + -1w = 14w -14 + 14w = 56 Solving -14 + 14w = 56 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '14' to each side of the equation. -14 + 14 + 14w = 56 + 14 Combine like terms: -14 + 14 = 0 0 + 14w = 56 + 14 14w = 56 + 14 Combine like terms: 56 + 14 = 70 14w = 70 Divide each side by '14'. w = 5 Simplifying w = 5
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