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Simplifying -7(v + 1) = -2(9v + -1) + 5v Reorder the terms: -7(1 + v) = -2(9v + -1) + 5v (1 * -7 + v * -7) = -2(9v + -1) + 5v (-7 + -7v) = -2(9v + -1) + 5v Reorder the terms: -7 + -7v = -2(-1 + 9v) + 5v -7 + -7v = (-1 * -2 + 9v * -2) + 5v -7 + -7v = (2 + -18v) + 5v Combine like terms: -18v + 5v = -13v -7 + -7v = 2 + -13v Solving -7 + -7v = 2 + -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. -7 + -7v + 13v = 2 + -13v + 13v Combine like terms: -7v + 13v = 6v -7 + 6v = 2 + -13v + 13v Combine like terms: -13v + 13v = 0 -7 + 6v = 2 + 0 -7 + 6v = 2 Add '7' to each side of the equation. -7 + 7 + 6v = 2 + 7 Combine like terms: -7 + 7 = 0 0 + 6v = 2 + 7 6v = 2 + 7 Combine like terms: 2 + 7 = 9 6v = 9 Divide each side by '6'. v = 1.5 Simplifying v = 1.5
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