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Simplifying 3(v + -2) + 5 = 2(3v + -5) Reorder the terms: 3(-2 + v) + 5 = 2(3v + -5) (-2 * 3 + v * 3) + 5 = 2(3v + -5) (-6 + 3v) + 5 = 2(3v + -5) Reorder the terms: -6 + 5 + 3v = 2(3v + -5) Combine like terms: -6 + 5 = -1 -1 + 3v = 2(3v + -5) Reorder the terms: -1 + 3v = 2(-5 + 3v) -1 + 3v = (-5 * 2 + 3v * 2) -1 + 3v = (-10 + 6v) Solving -1 + 3v = -10 + 6v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-6v' to each side of the equation. -1 + 3v + -6v = -10 + 6v + -6v Combine like terms: 3v + -6v = -3v -1 + -3v = -10 + 6v + -6v Combine like terms: 6v + -6v = 0 -1 + -3v = -10 + 0 -1 + -3v = -10 Add '1' to each side of the equation. -1 + 1 + -3v = -10 + 1 Combine like terms: -1 + 1 = 0 0 + -3v = -10 + 1 -3v = -10 + 1 Combine like terms: -10 + 1 = -9 -3v = -9 Divide each side by '-3'. v = 3 Simplifying v = 3
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