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Simplifying 6(v + -1) + -6 = -7(-4v + 1) + -7v Reorder the terms: 6(-1 + v) + -6 = -7(-4v + 1) + -7v (-1 * 6 + v * 6) + -6 = -7(-4v + 1) + -7v (-6 + 6v) + -6 = -7(-4v + 1) + -7v Reorder the terms: -6 + -6 + 6v = -7(-4v + 1) + -7v Combine like terms: -6 + -6 = -12 -12 + 6v = -7(-4v + 1) + -7v Reorder the terms: -12 + 6v = -7(1 + -4v) + -7v -12 + 6v = (1 * -7 + -4v * -7) + -7v -12 + 6v = (-7 + 28v) + -7v Combine like terms: 28v + -7v = 21v -12 + 6v = -7 + 21v Solving -12 + 6v = -7 + 21v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-21v' to each side of the equation. -12 + 6v + -21v = -7 + 21v + -21v Combine like terms: 6v + -21v = -15v -12 + -15v = -7 + 21v + -21v Combine like terms: 21v + -21v = 0 -12 + -15v = -7 + 0 -12 + -15v = -7 Add '12' to each side of the equation. -12 + 12 + -15v = -7 + 12 Combine like terms: -12 + 12 = 0 0 + -15v = -7 + 12 -15v = -7 + 12 Combine like terms: -7 + 12 = 5 -15v = 5 Divide each side by '-15'. v = -0.3333333333 Simplifying v = -0.3333333333
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