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Simplifying -45 = 3(4v + 1) Reorder the terms: -45 = 3(1 + 4v) -45 = (1 * 3 + 4v * 3) -45 = (3 + 12v) Solving -45 = 3 + 12v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-12v' to each side of the equation. -45 + -12v = 3 + 12v + -12v Combine like terms: 12v + -12v = 0 -45 + -12v = 3 + 0 -45 + -12v = 3 Add '45' to each side of the equation. -45 + 45 + -12v = 3 + 45 Combine like terms: -45 + 45 = 0 0 + -12v = 3 + 45 -12v = 3 + 45 Combine like terms: 3 + 45 = 48 -12v = 48 Divide each side by '-12'. v = -4 Simplifying v = -4
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