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Simplifying -3v + 3(1 + -4v) = 6(1 + -3v) -3v + (1 * 3 + -4v * 3) = 6(1 + -3v) -3v + (3 + -12v) = 6(1 + -3v) Reorder the terms: 3 + -3v + -12v = 6(1 + -3v) Combine like terms: -3v + -12v = -15v 3 + -15v = 6(1 + -3v) 3 + -15v = (1 * 6 + -3v * 6) 3 + -15v = (6 + -18v) Solving 3 + -15v = 6 + -18v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '18v' to each side of the equation. 3 + -15v + 18v = 6 + -18v + 18v Combine like terms: -15v + 18v = 3v 3 + 3v = 6 + -18v + 18v Combine like terms: -18v + 18v = 0 3 + 3v = 6 + 0 3 + 3v = 6 Add '-3' to each side of the equation. 3 + -3 + 3v = 6 + -3 Combine like terms: 3 + -3 = 0 0 + 3v = 6 + -3 3v = 6 + -3 Combine like terms: 6 + -3 = 3 3v = 3 Divide each side by '3'. v = 1 Simplifying v = 1
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