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Simplifying 103 = -6v + 5(8 + 3v) 103 = -6v + (8 * 5 + 3v * 5) 103 = -6v + (40 + 15v) Reorder the terms: 103 = 40 + -6v + 15v Combine like terms: -6v + 15v = 9v 103 = 40 + 9v Solving 103 = 40 + 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. 103 + -9v = 40 + 9v + -9v Combine like terms: 9v + -9v = 0 103 + -9v = 40 + 0 103 + -9v = 40 Add '-103' to each side of the equation. 103 + -103 + -9v = 40 + -103 Combine like terms: 103 + -103 = 0 0 + -9v = 40 + -103 -9v = 40 + -103 Combine like terms: 40 + -103 = -63 -9v = -63 Divide each side by '-9'. v = 7 Simplifying v = 7
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