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Simplifying 3(v + -3) = v + 6 + -3(-4v + -1) Reorder the terms: 3(-3 + v) = v + 6 + -3(-4v + -1) (-3 * 3 + v * 3) = v + 6 + -3(-4v + -1) (-9 + 3v) = v + 6 + -3(-4v + -1) Reorder the terms: -9 + 3v = v + 6 + -3(-1 + -4v) -9 + 3v = v + 6 + (-1 * -3 + -4v * -3) -9 + 3v = v + 6 + (3 + 12v) Reorder the terms: -9 + 3v = 6 + 3 + v + 12v Combine like terms: 6 + 3 = 9 -9 + 3v = 9 + v + 12v Combine like terms: v + 12v = 13v -9 + 3v = 9 + 13v Solving -9 + 3v = 9 + 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. -9 + 3v + -13v = 9 + 13v + -13v Combine like terms: 3v + -13v = -10v -9 + -10v = 9 + 13v + -13v Combine like terms: 13v + -13v = 0 -9 + -10v = 9 + 0 -9 + -10v = 9 Add '9' to each side of the equation. -9 + 9 + -10v = 9 + 9 Combine like terms: -9 + 9 = 0 0 + -10v = 9 + 9 -10v = 9 + 9 Combine like terms: 9 + 9 = 18 -10v = 18 Divide each side by '-10'. v = -1.8 Simplifying v = -1.8
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