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Simplifying -4 + -12(4v + -4) = 10(-7v + -3) + 5v Reorder the terms: -4 + -12(-4 + 4v) = 10(-7v + -3) + 5v -4 + (-4 * -12 + 4v * -12) = 10(-7v + -3) + 5v -4 + (48 + -48v) = 10(-7v + -3) + 5v Combine like terms: -4 + 48 = 44 44 + -48v = 10(-7v + -3) + 5v Reorder the terms: 44 + -48v = 10(-3 + -7v) + 5v 44 + -48v = (-3 * 10 + -7v * 10) + 5v 44 + -48v = (-30 + -70v) + 5v Combine like terms: -70v + 5v = -65v 44 + -48v = -30 + -65v Solving 44 + -48v = -30 + -65v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '65v' to each side of the equation. 44 + -48v + 65v = -30 + -65v + 65v Combine like terms: -48v + 65v = 17v 44 + 17v = -30 + -65v + 65v Combine like terms: -65v + 65v = 0 44 + 17v = -30 + 0 44 + 17v = -30 Add '-44' to each side of the equation. 44 + -44 + 17v = -30 + -44 Combine like terms: 44 + -44 = 0 0 + 17v = -30 + -44 17v = -30 + -44 Combine like terms: -30 + -44 = -74 17v = -74 Divide each side by '17'. v = -4.352941176 Simplifying v = -4.352941176
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