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Simplifying 7(v + 9) = -5v + 3 Reorder the terms: 7(9 + v) = -5v + 3 (9 * 7 + v * 7) = -5v + 3 (63 + 7v) = -5v + 3 Reorder the terms: 63 + 7v = 3 + -5v Solving 63 + 7v = 3 + -5v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '5v' to each side of the equation. 63 + 7v + 5v = 3 + -5v + 5v Combine like terms: 7v + 5v = 12v 63 + 12v = 3 + -5v + 5v Combine like terms: -5v + 5v = 0 63 + 12v = 3 + 0 63 + 12v = 3 Add '-63' to each side of the equation. 63 + -63 + 12v = 3 + -63 Combine like terms: 63 + -63 = 0 0 + 12v = 3 + -63 12v = 3 + -63 Combine like terms: 3 + -63 = -60 12v = -60 Divide each side by '12'. v = -5 Simplifying v = -5
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