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Simplifying 2(v + -7) + -5 = -7(-3v + 3) + -9v Reorder the terms: 2(-7 + v) + -5 = -7(-3v + 3) + -9v (-7 * 2 + v * 2) + -5 = -7(-3v + 3) + -9v (-14 + 2v) + -5 = -7(-3v + 3) + -9v Reorder the terms: -14 + -5 + 2v = -7(-3v + 3) + -9v Combine like terms: -14 + -5 = -19 -19 + 2v = -7(-3v + 3) + -9v Reorder the terms: -19 + 2v = -7(3 + -3v) + -9v -19 + 2v = (3 * -7 + -3v * -7) + -9v -19 + 2v = (-21 + 21v) + -9v Combine like terms: 21v + -9v = 12v -19 + 2v = -21 + 12v Solving -19 + 2v = -21 + 12v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-12v' to each side of the equation. -19 + 2v + -12v = -21 + 12v + -12v Combine like terms: 2v + -12v = -10v -19 + -10v = -21 + 12v + -12v Combine like terms: 12v + -12v = 0 -19 + -10v = -21 + 0 -19 + -10v = -21 Add '19' to each side of the equation. -19 + 19 + -10v = -21 + 19 Combine like terms: -19 + 19 = 0 0 + -10v = -21 + 19 -10v = -21 + 19 Combine like terms: -21 + 19 = -2 -10v = -2 Divide each side by '-10'. v = 0.2 Simplifying v = 0.2
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