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Simplifying -4 + -12(4v + -4) = 10(-7 + -3) + 5v Reorder the terms: -4 + -12(-4 + 4v) = 10(-7 + -3) + 5v -4 + (-4 * -12 + 4v * -12) = 10(-7 + -3) + 5v -4 + (48 + -48v) = 10(-7 + -3) + 5v Combine like terms: -4 + 48 = 44 44 + -48v = 10(-7 + -3) + 5v Combine like terms: -7 + -3 = -10 44 + -48v = 10(-10) + 5v Multiply 10 * -10 44 + -48v = -100 + 5v Solving 44 + -48v = -100 + 5v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-5v' to each side of the equation. 44 + -48v + -5v = -100 + 5v + -5v Combine like terms: -48v + -5v = -53v 44 + -53v = -100 + 5v + -5v Combine like terms: 5v + -5v = 0 44 + -53v = -100 + 0 44 + -53v = -100 Add '-44' to each side of the equation. 44 + -44 + -53v = -100 + -44 Combine like terms: 44 + -44 = 0 0 + -53v = -100 + -44 -53v = -100 + -44 Combine like terms: -100 + -44 = -144 -53v = -144 Divide each side by '-53'. v = 2.716981132 Simplifying v = 2.716981132
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