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Simplifying 6(v + -1) = 2v + 4 + -2(-7v + -1) Reorder the terms: 6(-1 + v) = 2v + 4 + -2(-7v + -1) (-1 * 6 + v * 6) = 2v + 4 + -2(-7v + -1) (-6 + 6v) = 2v + 4 + -2(-7v + -1) Reorder the terms: -6 + 6v = 2v + 4 + -2(-1 + -7v) -6 + 6v = 2v + 4 + (-1 * -2 + -7v * -2) -6 + 6v = 2v + 4 + (2 + 14v) Reorder the terms: -6 + 6v = 4 + 2 + 2v + 14v Combine like terms: 4 + 2 = 6 -6 + 6v = 6 + 2v + 14v Combine like terms: 2v + 14v = 16v -6 + 6v = 6 + 16v Solving -6 + 6v = 6 + 16v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-16v' to each side of the equation. -6 + 6v + -16v = 6 + 16v + -16v Combine like terms: 6v + -16v = -10v -6 + -10v = 6 + 16v + -16v Combine like terms: 16v + -16v = 0 -6 + -10v = 6 + 0 -6 + -10v = 6 Add '6' to each side of the equation. -6 + 6 + -10v = 6 + 6 Combine like terms: -6 + 6 = 0 0 + -10v = 6 + 6 -10v = 6 + 6 Combine like terms: 6 + 6 = 12 -10v = 12 Divide each side by '-10'. v = -1.2 Simplifying v = -1.2
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