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Simplifying 6 + -1(v + -4) = 2(6v + -3) Reorder the terms: 6 + -1(-4 + v) = 2(6v + -3) 6 + (-4 * -1 + v * -1) = 2(6v + -3) 6 + (4 + -1v) = 2(6v + -3) Combine like terms: 6 + 4 = 10 10 + -1v = 2(6v + -3) Reorder the terms: 10 + -1v = 2(-3 + 6v) 10 + -1v = (-3 * 2 + 6v * 2) 10 + -1v = (-6 + 12v) Solving 10 + -1v = -6 + 12v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-12v' to each side of the equation. 10 + -1v + -12v = -6 + 12v + -12v Combine like terms: -1v + -12v = -13v 10 + -13v = -6 + 12v + -12v Combine like terms: 12v + -12v = 0 10 + -13v = -6 + 0 10 + -13v = -6 Add '-10' to each side of the equation. 10 + -10 + -13v = -6 + -10 Combine like terms: 10 + -10 = 0 0 + -13v = -6 + -10 -13v = -6 + -10 Combine like terms: -6 + -10 = -16 -13v = -16 Divide each side by '-13'. v = 1.230769231 Simplifying v = 1.230769231
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