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Simplifying 3(v + -7) + -3 = -2(-6v + 5) + -3v Reorder the terms: 3(-7 + v) + -3 = -2(-6v + 5) + -3v (-7 * 3 + v * 3) + -3 = -2(-6v + 5) + -3v (-21 + 3v) + -3 = -2(-6v + 5) + -3v Reorder the terms: -21 + -3 + 3v = -2(-6v + 5) + -3v Combine like terms: -21 + -3 = -24 -24 + 3v = -2(-6v + 5) + -3v Reorder the terms: -24 + 3v = -2(5 + -6v) + -3v -24 + 3v = (5 * -2 + -6v * -2) + -3v -24 + 3v = (-10 + 12v) + -3v Combine like terms: 12v + -3v = 9v -24 + 3v = -10 + 9v Solving -24 + 3v = -10 + 9v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-9v' to each side of the equation. -24 + 3v + -9v = -10 + 9v + -9v Combine like terms: 3v + -9v = -6v -24 + -6v = -10 + 9v + -9v Combine like terms: 9v + -9v = 0 -24 + -6v = -10 + 0 -24 + -6v = -10 Add '24' to each side of the equation. -24 + 24 + -6v = -10 + 24 Combine like terms: -24 + 24 = 0 0 + -6v = -10 + 24 -6v = -10 + 24 Combine like terms: -10 + 24 = 14 -6v = 14 Divide each side by '-6'. v = -2.333333333 Simplifying v = -2.333333333
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