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Simplifying 96 = 3(6 + 6v) + -5v 96 = (6 * 3 + 6v * 3) + -5v 96 = (18 + 18v) + -5v Combine like terms: 18v + -5v = 13v 96 = 18 + 13v Solving 96 = 18 + 13v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-13v' to each side of the equation. 96 + -13v = 18 + 13v + -13v Combine like terms: 13v + -13v = 0 96 + -13v = 18 + 0 96 + -13v = 18 Add '-96' to each side of the equation. 96 + -96 + -13v = 18 + -96 Combine like terms: 96 + -96 = 0 0 + -13v = 18 + -96 -13v = 18 + -96 Combine like terms: 18 + -96 = -78 -13v = -78 Divide each side by '-13'. v = 6 Simplifying v = 6
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