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Simplifying -5v + 3 = 7(v + 9) Reorder the terms: 3 + -5v = 7(v + 9) Reorder the terms: 3 + -5v = 7(9 + v) 3 + -5v = (9 * 7 + v * 7) 3 + -5v = (63 + 7v) Solving 3 + -5v = 63 + 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. 3 + -5v + -7v = 63 + 7v + -7v Combine like terms: -5v + -7v = -12v 3 + -12v = 63 + 7v + -7v Combine like terms: 7v + -7v = 0 3 + -12v = 63 + 0 3 + -12v = 63 Add '-3' to each side of the equation. 3 + -3 + -12v = 63 + -3 Combine like terms: 3 + -3 = 0 0 + -12v = 63 + -3 -12v = 63 + -3 Combine like terms: 63 + -3 = 60 -12v = 60 Divide each side by '-12'. v = -5 Simplifying v = -5
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