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Simplifying 6v + -21 = -3(1 + -5v) Reorder the terms: -21 + 6v = -3(1 + -5v) -21 + 6v = (1 * -3 + -5v * -3) -21 + 6v = (-3 + 15v) Solving -21 + 6v = -3 + 15v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-15v' to each side of the equation. -21 + 6v + -15v = -3 + 15v + -15v Combine like terms: 6v + -15v = -9v -21 + -9v = -3 + 15v + -15v Combine like terms: 15v + -15v = 0 -21 + -9v = -3 + 0 -21 + -9v = -3 Add '21' to each side of the equation. -21 + 21 + -9v = -3 + 21 Combine like terms: -21 + 21 = 0 0 + -9v = -3 + 21 -9v = -3 + 21 Combine like terms: -3 + 21 = 18 -9v = 18 Divide each side by '-9'. v = -2 Simplifying v = -2
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