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Simplifying 6(2v + -7) = -1(v + 1) Reorder the terms: 6(-7 + 2v) = -1(v + 1) (-7 * 6 + 2v * 6) = -1(v + 1) (-42 + 12v) = -1(v + 1) Reorder the terms: -42 + 12v = -1(1 + v) -42 + 12v = (1 * -1 + v * -1) -42 + 12v = (-1 + -1v) Solving -42 + 12v = -1 + -1v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add 'v' to each side of the equation. -42 + 12v + v = -1 + -1v + v Combine like terms: 12v + v = 13v -42 + 13v = -1 + -1v + v Combine like terms: -1v + v = 0 -42 + 13v = -1 + 0 -42 + 13v = -1 Add '42' to each side of the equation. -42 + 42 + 13v = -1 + 42 Combine like terms: -42 + 42 = 0 0 + 13v = -1 + 42 13v = -1 + 42 Combine like terms: -1 + 42 = 41 13v = 41 Divide each side by '13'. v = 3.153846154 Simplifying v = 3.153846154
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