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Simplifying 3(v + -1) = 7v + 3 + -2(-6v + -3) Reorder the terms: 3(-1 + v) = 7v + 3 + -2(-6v + -3) (-1 * 3 + v * 3) = 7v + 3 + -2(-6v + -3) (-3 + 3v) = 7v + 3 + -2(-6v + -3) Reorder the terms: -3 + 3v = 7v + 3 + -2(-3 + -6v) -3 + 3v = 7v + 3 + (-3 * -2 + -6v * -2) -3 + 3v = 7v + 3 + (6 + 12v) Reorder the terms: -3 + 3v = 3 + 6 + 7v + 12v Combine like terms: 3 + 6 = 9 -3 + 3v = 9 + 7v + 12v Combine like terms: 7v + 12v = 19v -3 + 3v = 9 + 19v Solving -3 + 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. -3 + 3v + -19v = 9 + 19v + -19v Combine like terms: 3v + -19v = -16v -3 + -16v = 9 + 19v + -19v Combine like terms: 19v + -19v = 0 -3 + -16v = 9 + 0 -3 + -16v = 9 Add '3' to each side of the equation. -3 + 3 + -16v = 9 + 3 Combine like terms: -3 + 3 = 0 0 + -16v = 9 + 3 -16v = 9 + 3 Combine like terms: 9 + 3 = 12 -16v = 12 Divide each side by '-16'. v = -0.75 Simplifying v = -0.75
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