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Simplifying 3(v + -3) = 3v + 7 + -2(-8v + -1) Reorder the terms: 3(-3 + v) = 3v + 7 + -2(-8v + -1) (-3 * 3 + v * 3) = 3v + 7 + -2(-8v + -1) (-9 + 3v) = 3v + 7 + -2(-8v + -1) Reorder the terms: -9 + 3v = 3v + 7 + -2(-1 + -8v) -9 + 3v = 3v + 7 + (-1 * -2 + -8v * -2) -9 + 3v = 3v + 7 + (2 + 16v) Reorder the terms: -9 + 3v = 7 + 2 + 3v + 16v Combine like terms: 7 + 2 = 9 -9 + 3v = 9 + 3v + 16v Combine like terms: 3v + 16v = 19v -9 + 3v = 9 + 19v Solving -9 + 3v = 9 + 19v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-19v' to each side of the equation. -9 + 3v + -19v = 9 + 19v + -19v Combine like terms: 3v + -19v = -16v -9 + -16v = 9 + 19v + -19v Combine like terms: 19v + -19v = 0 -9 + -16v = 9 + 0 -9 + -16v = 9 Add '9' to each side of the equation. -9 + 9 + -16v = 9 + 9 Combine like terms: -9 + 9 = 0 0 + -16v = 9 + 9 -16v = 9 + 9 Combine like terms: 9 + 9 = 18 -16v = 18 Divide each side by '-16'. v = -1.125 Simplifying v = -1.125
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