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Simplifying 2(v + -4) = 6v + 3 + -3(-2v + -1) Reorder the terms: 2(-4 + v) = 6v + 3 + -3(-2v + -1) (-4 * 2 + v * 2) = 6v + 3 + -3(-2v + -1) (-8 + 2v) = 6v + 3 + -3(-2v + -1) Reorder the terms: -8 + 2v = 6v + 3 + -3(-1 + -2v) -8 + 2v = 6v + 3 + (-1 * -3 + -2v * -3) -8 + 2v = 6v + 3 + (3 + 6v) Reorder the terms: -8 + 2v = 3 + 3 + 6v + 6v Combine like terms: 3 + 3 = 6 -8 + 2v = 6 + 6v + 6v Combine like terms: 6v + 6v = 12v -8 + 2v = 6 + 12v Solving -8 + 2v = 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. -8 + 2v + -12v = 6 + 12v + -12v Combine like terms: 2v + -12v = -10v -8 + -10v = 6 + 12v + -12v Combine like terms: 12v + -12v = 0 -8 + -10v = 6 + 0 -8 + -10v = 6 Add '8' to each side of the equation. -8 + 8 + -10v = 6 + 8 Combine like terms: -8 + 8 = 0 0 + -10v = 6 + 8 -10v = 6 + 8 Combine like terms: 6 + 8 = 14 -10v = 14 Divide each side by '-10'. v = -1.4 Simplifying v = -1.4
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