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Simplifying 9v + -1 = 7(v + -3) Reorder the terms: -1 + 9v = 7(v + -3) Reorder the terms: -1 + 9v = 7(-3 + v) -1 + 9v = (-3 * 7 + v * 7) -1 + 9v = (-21 + 7v) Solving -1 + 9v = -21 + 7v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-7v' to each side of the equation. -1 + 9v + -7v = -21 + 7v + -7v Combine like terms: 9v + -7v = 2v -1 + 2v = -21 + 7v + -7v Combine like terms: 7v + -7v = 0 -1 + 2v = -21 + 0 -1 + 2v = -21 Add '1' to each side of the equation. -1 + 1 + 2v = -21 + 1 Combine like terms: -1 + 1 = 0 0 + 2v = -21 + 1 2v = -21 + 1 Combine like terms: -21 + 1 = -20 2v = -20 Divide each side by '2'. v = -10 Simplifying v = -10
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