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Simplifying 6 + -2(5v + -3) = -6(2v + -3) + 6v Reorder the terms: 6 + -2(-3 + 5v) = -6(2v + -3) + 6v 6 + (-3 * -2 + 5v * -2) = -6(2v + -3) + 6v 6 + (6 + -10v) = -6(2v + -3) + 6v Combine like terms: 6 + 6 = 12 12 + -10v = -6(2v + -3) + 6v Reorder the terms: 12 + -10v = -6(-3 + 2v) + 6v 12 + -10v = (-3 * -6 + 2v * -6) + 6v 12 + -10v = (18 + -12v) + 6v Combine like terms: -12v + 6v = -6v 12 + -10v = 18 + -6v Solving 12 + -10v = 18 + -6v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '6v' to each side of the equation. 12 + -10v + 6v = 18 + -6v + 6v Combine like terms: -10v + 6v = -4v 12 + -4v = 18 + -6v + 6v Combine like terms: -6v + 6v = 0 12 + -4v = 18 + 0 12 + -4v = 18 Add '-12' to each side of the equation. 12 + -12 + -4v = 18 + -12 Combine like terms: 12 + -12 = 0 0 + -4v = 18 + -12 -4v = 18 + -12 Combine like terms: 18 + -12 = 6 -4v = 6 Divide each side by '-4'. v = -1.5 Simplifying v = -1.5
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