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Simplifying 5(6w + 2) + w = 4(8w + -5) + 6 Reorder the terms: 5(2 + 6w) + w = 4(8w + -5) + 6 (2 * 5 + 6w * 5) + w = 4(8w + -5) + 6 (10 + 30w) + w = 4(8w + -5) + 6 Combine like terms: 30w + w = 31w 10 + 31w = 4(8w + -5) + 6 Reorder the terms: 10 + 31w = 4(-5 + 8w) + 6 10 + 31w = (-5 * 4 + 8w * 4) + 6 10 + 31w = (-20 + 32w) + 6 Reorder the terms: 10 + 31w = -20 + 6 + 32w Combine like terms: -20 + 6 = -14 10 + 31w = -14 + 32w Solving 10 + 31w = -14 + 32w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-32w' to each side of the equation. 10 + 31w + -32w = -14 + 32w + -32w Combine like terms: 31w + -32w = -1w 10 + -1w = -14 + 32w + -32w Combine like terms: 32w + -32w = 0 10 + -1w = -14 + 0 10 + -1w = -14 Add '-10' to each side of the equation. 10 + -10 + -1w = -14 + -10 Combine like terms: 10 + -10 = 0 0 + -1w = -14 + -10 -1w = -14 + -10 Combine like terms: -14 + -10 = -24 -1w = -24 Divide each side by '-1'. w = 24 Simplifying w = 24
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