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