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Simplifying 5(v + 4) + 3(1 + -4v) = -26 Reorder the terms: 5(4 + v) + 3(1 + -4v) = -26 (4 * 5 + v * 5) + 3(1 + -4v) = -26 (20 + 5v) + 3(1 + -4v) = -26 20 + 5v + (1 * 3 + -4v * 3) = -26 20 + 5v + (3 + -12v) = -26 Reorder the terms: 20 + 3 + 5v + -12v = -26 Combine like terms: 20 + 3 = 23 23 + 5v + -12v = -26 Combine like terms: 5v + -12v = -7v 23 + -7v = -26 Solving 23 + -7v = -26 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-23' to each side of the equation. 23 + -23 + -7v = -26 + -23 Combine like terms: 23 + -23 = 0 0 + -7v = -26 + -23 -7v = -26 + -23 Combine like terms: -26 + -23 = -49 -7v = -49 Divide each side by '-7'. v = 7 Simplifying v = 7
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