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Simplifying -6(-5v + 7) + -7v = 5(v + -7) + -4 Reorder the terms: -6(7 + -5v) + -7v = 5(v + -7) + -4 (7 * -6 + -5v * -6) + -7v = 5(v + -7) + -4 (-42 + 30v) + -7v = 5(v + -7) + -4 Combine like terms: 30v + -7v = 23v -42 + 23v = 5(v + -7) + -4 Reorder the terms: -42 + 23v = 5(-7 + v) + -4 -42 + 23v = (-7 * 5 + v * 5) + -4 -42 + 23v = (-35 + 5v) + -4 Reorder the terms: -42 + 23v = -35 + -4 + 5v Combine like terms: -35 + -4 = -39 -42 + 23v = -39 + 5v Solving -42 + 23v = -39 + 5v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-5v' to each side of the equation. -42 + 23v + -5v = -39 + 5v + -5v Combine like terms: 23v + -5v = 18v -42 + 18v = -39 + 5v + -5v Combine like terms: 5v + -5v = 0 -42 + 18v = -39 + 0 -42 + 18v = -39 Add '42' to each side of the equation. -42 + 42 + 18v = -39 + 42 Combine like terms: -42 + 42 = 0 0 + 18v = -39 + 42 18v = -39 + 42 Combine like terms: -39 + 42 = 3 18v = 3 Divide each side by '18'. v = 0.1666666667 Simplifying v = 0.1666666667
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