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Simplifying 3(v + -3) = v + 5 + -2(-5v + -2) Reorder the terms: 3(-3 + v) = v + 5 + -2(-5v + -2) (-3 * 3 + v * 3) = v + 5 + -2(-5v + -2) (-9 + 3v) = v + 5 + -2(-5v + -2) Reorder the terms: -9 + 3v = v + 5 + -2(-2 + -5v) -9 + 3v = v + 5 + (-2 * -2 + -5v * -2) -9 + 3v = v + 5 + (4 + 10v) Reorder the terms: -9 + 3v = 5 + 4 + v + 10v Combine like terms: 5 + 4 = 9 -9 + 3v = 9 + v + 10v Combine like terms: v + 10v = 11v -9 + 3v = 9 + 11v Solving -9 + 3v = 9 + 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. -9 + 3v + -11v = 9 + 11v + -11v Combine like terms: 3v + -11v = -8v -9 + -8v = 9 + 11v + -11v Combine like terms: 11v + -11v = 0 -9 + -8v = 9 + 0 -9 + -8v = 9 Add '9' to each side of the equation. -9 + 9 + -8v = 9 + 9 Combine like terms: -9 + 9 = 0 0 + -8v = 9 + 9 -8v = 9 + 9 Combine like terms: 9 + 9 = 18 -8v = 18 Divide each side by '-8'. v = -2.25 Simplifying v = -2.25
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