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Simplifying 5(6v + -3) = 21 + -6v Reorder the terms: 5(-3 + 6v) = 21 + -6v (-3 * 5 + 6v * 5) = 21 + -6v (-15 + 30v) = 21 + -6v Solving -15 + 30v = 21 + -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 + 30v + 6v = 21 + -6v + 6v Combine like terms: 30v + 6v = 36v -15 + 36v = 21 + -6v + 6v Combine like terms: -6v + 6v = 0 -15 + 36v = 21 + 0 -15 + 36v = 21 Add '15' to each side of the equation. -15 + 15 + 36v = 21 + 15 Combine like terms: -15 + 15 = 0 0 + 36v = 21 + 15 36v = 21 + 15 Combine like terms: 21 + 15 = 36 36v = 36 Divide each side by '36'. v = 1 Simplifying v = 1
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