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Simplifying 3(v + -1) = v + 5 + -2(-5v + -5) Reorder the terms: 3(-1 + v) = v + 5 + -2(-5v + -5) (-1 * 3 + v * 3) = v + 5 + -2(-5v + -5) (-3 + 3v) = v + 5 + -2(-5v + -5) Reorder the terms: -3 + 3v = v + 5 + -2(-5 + -5v) -3 + 3v = v + 5 + (-5 * -2 + -5v * -2) -3 + 3v = v + 5 + (10 + 10v) Reorder the terms: -3 + 3v = 5 + 10 + v + 10v Combine like terms: 5 + 10 = 15 -3 + 3v = 15 + v + 10v Combine like terms: v + 10v = 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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