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Simplifying 6(-3v + 1) = 4(-2v + -2) Reorder the terms: 6(1 + -3v) = 4(-2v + -2) (1 * 6 + -3v * 6) = 4(-2v + -2) (6 + -18v) = 4(-2v + -2) Reorder the terms: 6 + -18v = 4(-2 + -2v) 6 + -18v = (-2 * 4 + -2v * 4) 6 + -18v = (-8 + -8v) Solving 6 + -18v = -8 + -8v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '8v' to each side of the equation. 6 + -18v + 8v = -8 + -8v + 8v Combine like terms: -18v + 8v = -10v 6 + -10v = -8 + -8v + 8v Combine like terms: -8v + 8v = 0 6 + -10v = -8 + 0 6 + -10v = -8 Add '-6' to each side of the equation. 6 + -6 + -10v = -8 + -6 Combine like terms: 6 + -6 = 0 0 + -10v = -8 + -6 -10v = -8 + -6 Combine like terms: -8 + -6 = -14 -10v = -14 Divide each side by '-10'. v = 1.4 Simplifying v = 1.4
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