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Simplifying 7(v + 5) + 3 = 2v + -11 Reorder the terms: 7(5 + v) + 3 = 2v + -11 (5 * 7 + v * 7) + 3 = 2v + -11 (35 + 7v) + 3 = 2v + -11 Reorder the terms: 35 + 3 + 7v = 2v + -11 Combine like terms: 35 + 3 = 38 38 + 7v = 2v + -11 Reorder the terms: 38 + 7v = -11 + 2v Solving 38 + 7v = -11 + 2v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-2v' to each side of the equation. 38 + 7v + -2v = -11 + 2v + -2v Combine like terms: 7v + -2v = 5v 38 + 5v = -11 + 2v + -2v Combine like terms: 2v + -2v = 0 38 + 5v = -11 + 0 38 + 5v = -11 Add '-38' to each side of the equation. 38 + -38 + 5v = -11 + -38 Combine like terms: 38 + -38 = 0 0 + 5v = -11 + -38 5v = -11 + -38 Combine like terms: -11 + -38 = -49 5v = -49 Divide each side by '5'. v = -9.8 Simplifying v = -9.8
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