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Simplifying 3v + -3 + -7 = -4(-5v + 2) + -7v Reorder the terms: -3 + -7 + 3v = -4(-5v + 2) + -7v Combine like terms: -3 + -7 = -10 -10 + 3v = -4(-5v + 2) + -7v Reorder the terms: -10 + 3v = -4(2 + -5v) + -7v -10 + 3v = (2 * -4 + -5v * -4) + -7v -10 + 3v = (-8 + 20v) + -7v Combine like terms: 20v + -7v = 13v -10 + 3v = -8 + 13v Solving -10 + 3v = -8 + 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. -10 + 3v + -13v = -8 + 13v + -13v Combine like terms: 3v + -13v = -10v -10 + -10v = -8 + 13v + -13v Combine like terms: 13v + -13v = 0 -10 + -10v = -8 + 0 -10 + -10v = -8 Add '10' to each side of the equation. -10 + 10 + -10v = -8 + 10 Combine like terms: -10 + 10 = 0 0 + -10v = -8 + 10 -10v = -8 + 10 Combine like terms: -8 + 10 = 2 -10v = 2 Divide each side by '-10'. v = -0.2 Simplifying v = -0.2
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