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Simplifying 3(v + -3) + -2 = -3(-7v + 1) + -8v Reorder the terms: 3(-3 + v) + -2 = -3(-7v + 1) + -8v (-3 * 3 + v * 3) + -2 = -3(-7v + 1) + -8v (-9 + 3v) + -2 = -3(-7v + 1) + -8v Reorder the terms: -9 + -2 + 3v = -3(-7v + 1) + -8v Combine like terms: -9 + -2 = -11 -11 + 3v = -3(-7v + 1) + -8v Reorder the terms: -11 + 3v = -3(1 + -7v) + -8v -11 + 3v = (1 * -3 + -7v * -3) + -8v -11 + 3v = (-3 + 21v) + -8v Combine like terms: 21v + -8v = 13v -11 + 3v = -3 + 13v Solving -11 + 3v = -3 + 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. -11 + 3v + -13v = -3 + 13v + -13v Combine like terms: 3v + -13v = -10v -11 + -10v = -3 + 13v + -13v Combine like terms: 13v + -13v = 0 -11 + -10v = -3 + 0 -11 + -10v = -3 Add '11' to each side of the equation. -11 + 11 + -10v = -3 + 11 Combine like terms: -11 + 11 = 0 0 + -10v = -3 + 11 -10v = -3 + 11 Combine like terms: -3 + 11 = 8 -10v = 8 Divide each side by '-10'. v = -0.8 Simplifying v = -0.8
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