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Simplifying -5(v + 1) = v + -7 + 2(6v + 7) Reorder the terms: -5(1 + v) = v + -7 + 2(6v + 7) (1 * -5 + v * -5) = v + -7 + 2(6v + 7) (-5 + -5v) = v + -7 + 2(6v + 7) Reorder the terms: -5 + -5v = v + -7 + 2(7 + 6v) -5 + -5v = v + -7 + (7 * 2 + 6v * 2) -5 + -5v = v + -7 + (14 + 12v) Reorder the terms: -5 + -5v = -7 + 14 + v + 12v Combine like terms: -7 + 14 = 7 -5 + -5v = 7 + v + 12v Combine like terms: v + 12v = 13v -5 + -5v = 7 + 13v Solving -5 + -5v = 7 + 13v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-13v' to each side of the equation. -5 + -5v + -13v = 7 + 13v + -13v Combine like terms: -5v + -13v = -18v -5 + -18v = 7 + 13v + -13v Combine like terms: 13v + -13v = 0 -5 + -18v = 7 + 0 -5 + -18v = 7 Add '5' to each side of the equation. -5 + 5 + -18v = 7 + 5 Combine like terms: -5 + 5 = 0 0 + -18v = 7 + 5 -18v = 7 + 5 Combine like terms: 7 + 5 = 12 -18v = 12 Divide each side by '-18'. v = -0.6666666667 Simplifying v = -0.6666666667
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