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Simplifying 26 = 44 + -8(-3 + -4w) 26 = 44 + (-3 * -8 + -4w * -8) 26 = 44 + (24 + 32w) Combine like terms: 44 + 24 = 68 26 = 68 + 32w Solving 26 = 68 + 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. 26 + -32w = 68 + 32w + -32w Combine like terms: 32w + -32w = 0 26 + -32w = 68 + 0 26 + -32w = 68 Add '-26' to each side of the equation. 26 + -26 + -32w = 68 + -26 Combine like terms: 26 + -26 = 0 0 + -32w = 68 + -26 -32w = 68 + -26 Combine like terms: 68 + -26 = 42 -32w = 42 Divide each side by '-32'. w = -1.3125 Simplifying w = -1.3125
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