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Simplifying -3 = 5(1 + 4v) + -4(2 + -7v) -3 = (1 * 5 + 4v * 5) + -4(2 + -7v) -3 = (5 + 20v) + -4(2 + -7v) -3 = 5 + 20v + (2 * -4 + -7v * -4) -3 = 5 + 20v + (-8 + 28v) Reorder the terms: -3 = 5 + -8 + 20v + 28v Combine like terms: 5 + -8 = -3 -3 = -3 + 20v + 28v Combine like terms: 20v + 28v = 48v -3 = -3 + 48v Add '3' to each side of the equation. -3 + 3 = -3 + 3 + 48v Combine like terms: -3 + 3 = 0 0 = -3 + 3 + 48v Combine like terms: -3 + 3 = 0 0 = 0 + 48v 0 = 48v Solving 0 = 48v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-48v' to each side of the equation. 0 + -48v = 48v + -48v Remove the zero: -48v = 48v + -48v Combine like terms: 48v + -48v = 0 -48v = 0 Divide each side by '-48'. v = 0 Simplifying v = 0
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