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Simplifying 4(-3v + 1) + -1(-5 + -7v) = 0 Reorder the terms: 4(1 + -3v) + -1(-5 + -7v) = 0 (1 * 4 + -3v * 4) + -1(-5 + -7v) = 0 (4 + -12v) + -1(-5 + -7v) = 0 4 + -12v + (-5 * -1 + -7v * -1) = 0 4 + -12v + (5 + 7v) = 0 Reorder the terms: 4 + 5 + -12v + 7v = 0 Combine like terms: 4 + 5 = 9 9 + -12v + 7v = 0 Combine like terms: -12v + 7v = -5v 9 + -5v = 0 Solving 9 + -5v = 0 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + -5v = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -5v = 0 + -9 -5v = 0 + -9 Combine like terms: 0 + -9 = -9 -5v = -9 Divide each side by '-5'. v = 1.8 Simplifying v = 1.8
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