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Simplifying 3(v + -1) = 7v + 1 + -2(-2v + -7) Reorder the terms: 3(-1 + v) = 7v + 1 + -2(-2v + -7) (-1 * 3 + v * 3) = 7v + 1 + -2(-2v + -7) (-3 + 3v) = 7v + 1 + -2(-2v + -7) Reorder the terms: -3 + 3v = 7v + 1 + -2(-7 + -2v) -3 + 3v = 7v + 1 + (-7 * -2 + -2v * -2) -3 + 3v = 7v + 1 + (14 + 4v) Reorder the terms: -3 + 3v = 1 + 14 + 7v + 4v Combine like terms: 1 + 14 = 15 -3 + 3v = 15 + 7v + 4v Combine like terms: 7v + 4v = 11v -3 + 3v = 15 + 11v Solving -3 + 3v = 15 + 11v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-11v' to each side of the equation. -3 + 3v + -11v = 15 + 11v + -11v Combine like terms: 3v + -11v = -8v -3 + -8v = 15 + 11v + -11v Combine like terms: 11v + -11v = 0 -3 + -8v = 15 + 0 -3 + -8v = 15 Add '3' to each side of the equation. -3 + 3 + -8v = 15 + 3 Combine like terms: -3 + 3 = 0 0 + -8v = 15 + 3 -8v = 15 + 3 Combine like terms: 15 + 3 = 18 -8v = 18 Divide each side by '-8'. v = -2.25 Simplifying v = -2.25
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