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Simplifying 6(6v + 6) + -51 = 6v Reorder the terms: 6(6 + 6v) + -51 = 6v (6 * 6 + 6v * 6) + -51 = 6v (36 + 36v) + -51 = 6v Reorder the terms: 36 + -51 + 36v = 6v Combine like terms: 36 + -51 = -15 -15 + 36v = 6v Solving -15 + 36v = 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. -15 + 36v + -6v = 6v + -6v Combine like terms: 36v + -6v = 30v -15 + 30v = 6v + -6v Combine like terms: 6v + -6v = 0 -15 + 30v = 0 Add '15' to each side of the equation. -15 + 15 + 30v = 0 + 15 Combine like terms: -15 + 15 = 0 0 + 30v = 0 + 15 30v = 0 + 15 Combine like terms: 0 + 15 = 15 30v = 15 Divide each side by '30'. v = 0.5 Simplifying v = 0.5
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