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Simplifying 7w + -6 + -8(6w + -4) = 3 + -7(4w + 5) Reorder the terms: 7w + -6 + -8(-4 + 6w) = 3 + -7(4w + 5) 7w + -6 + (-4 * -8 + 6w * -8) = 3 + -7(4w + 5) 7w + -6 + (32 + -48w) = 3 + -7(4w + 5) Reorder the terms: -6 + 32 + 7w + -48w = 3 + -7(4w + 5) Combine like terms: -6 + 32 = 26 26 + 7w + -48w = 3 + -7(4w + 5) Combine like terms: 7w + -48w = -41w 26 + -41w = 3 + -7(4w + 5) Reorder the terms: 26 + -41w = 3 + -7(5 + 4w) 26 + -41w = 3 + (5 * -7 + 4w * -7) 26 + -41w = 3 + (-35 + -28w) Combine like terms: 3 + -35 = -32 26 + -41w = -32 + -28w Solving 26 + -41w = -32 + -28w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '28w' to each side of the equation. 26 + -41w + 28w = -32 + -28w + 28w Combine like terms: -41w + 28w = -13w 26 + -13w = -32 + -28w + 28w Combine like terms: -28w + 28w = 0 26 + -13w = -32 + 0 26 + -13w = -32 Add '-26' to each side of the equation. 26 + -26 + -13w = -32 + -26 Combine like terms: 26 + -26 = 0 0 + -13w = -32 + -26 -13w = -32 + -26 Combine like terms: -32 + -26 = -58 -13w = -58 Divide each side by '-13'. w = 4.461538462 Simplifying w = 4.461538462
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