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Simplifying -3(6v + -2) + 5v = -3(v + 2) Reorder the terms: -3(-2 + 6v) + 5v = -3(v + 2) (-2 * -3 + 6v * -3) + 5v = -3(v + 2) (6 + -18v) + 5v = -3(v + 2) Combine like terms: -18v + 5v = -13v 6 + -13v = -3(v + 2) Reorder the terms: 6 + -13v = -3(2 + v) 6 + -13v = (2 * -3 + v * -3) 6 + -13v = (-6 + -3v) Solving 6 + -13v = -6 + -3v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '3v' to each side of the equation. 6 + -13v + 3v = -6 + -3v + 3v Combine like terms: -13v + 3v = -10v 6 + -10v = -6 + -3v + 3v Combine like terms: -3v + 3v = 0 6 + -10v = -6 + 0 6 + -10v = -6 Add '-6' to each side of the equation. 6 + -6 + -10v = -6 + -6 Combine like terms: 6 + -6 = 0 0 + -10v = -6 + -6 -10v = -6 + -6 Combine like terms: -6 + -6 = -12 -10v = -12 Divide each side by '-10'. v = 1.2 Simplifying v = 1.2
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