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Simplifying 3(v + -7) + -5 = -5(-3v + 2) + -2v Reorder the terms: 3(-7 + v) + -5 = -5(-3v + 2) + -2v (-7 * 3 + v * 3) + -5 = -5(-3v + 2) + -2v (-21 + 3v) + -5 = -5(-3v + 2) + -2v Reorder the terms: -21 + -5 + 3v = -5(-3v + 2) + -2v Combine like terms: -21 + -5 = -26 -26 + 3v = -5(-3v + 2) + -2v Reorder the terms: -26 + 3v = -5(2 + -3v) + -2v -26 + 3v = (2 * -5 + -3v * -5) + -2v -26 + 3v = (-10 + 15v) + -2v Combine like terms: 15v + -2v = 13v -26 + 3v = -10 + 13v Solving -26 + 3v = -10 + 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. -26 + 3v + -13v = -10 + 13v + -13v Combine like terms: 3v + -13v = -10v -26 + -10v = -10 + 13v + -13v Combine like terms: 13v + -13v = 0 -26 + -10v = -10 + 0 -26 + -10v = -10 Add '26' to each side of the equation. -26 + 26 + -10v = -10 + 26 Combine like terms: -26 + 26 = 0 0 + -10v = -10 + 26 -10v = -10 + 26 Combine like terms: -10 + 26 = 16 -10v = 16 Divide each side by '-10'. v = -1.6 Simplifying v = -1.6
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