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Simplifying -8v + 6(10 + 6v) = -10(v + -7) + -7(v + 2) -8v + (10 * 6 + 6v * 6) = -10(v + -7) + -7(v + 2) -8v + (60 + 36v) = -10(v + -7) + -7(v + 2) Reorder the terms: 60 + -8v + 36v = -10(v + -7) + -7(v + 2) Combine like terms: -8v + 36v = 28v 60 + 28v = -10(v + -7) + -7(v + 2) Reorder the terms: 60 + 28v = -10(-7 + v) + -7(v + 2) 60 + 28v = (-7 * -10 + v * -10) + -7(v + 2) 60 + 28v = (70 + -10v) + -7(v + 2) Reorder the terms: 60 + 28v = 70 + -10v + -7(2 + v) 60 + 28v = 70 + -10v + (2 * -7 + v * -7) 60 + 28v = 70 + -10v + (-14 + -7v) Reorder the terms: 60 + 28v = 70 + -14 + -10v + -7v Combine like terms: 70 + -14 = 56 60 + 28v = 56 + -10v + -7v Combine like terms: -10v + -7v = -17v 60 + 28v = 56 + -17v Solving 60 + 28v = 56 + -17v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '17v' to each side of the equation. 60 + 28v + 17v = 56 + -17v + 17v Combine like terms: 28v + 17v = 45v 60 + 45v = 56 + -17v + 17v Combine like terms: -17v + 17v = 0 60 + 45v = 56 + 0 60 + 45v = 56 Add '-60' to each side of the equation. 60 + -60 + 45v = 56 + -60 Combine like terms: 60 + -60 = 0 0 + 45v = 56 + -60 45v = 56 + -60 Combine like terms: 56 + -60 = -4 45v = -4 Divide each side by '45'. v = -0.08888888889 Simplifying v = -0.08888888889
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