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Simplifying -103 = -2v + 3(-3v + 5) Reorder the terms: -103 = -2v + 3(5 + -3v) -103 = -2v + (5 * 3 + -3v * 3) -103 = -2v + (15 + -9v) Reorder the terms: -103 = 15 + -2v + -9v Combine like terms: -2v + -9v = -11v -103 = 15 + -11v Solving -103 = 15 + -11v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '11v' to each side of the equation. -103 + 11v = 15 + -11v + 11v Combine like terms: -11v + 11v = 0 -103 + 11v = 15 + 0 -103 + 11v = 15 Add '103' to each side of the equation. -103 + 103 + 11v = 15 + 103 Combine like terms: -103 + 103 = 0 0 + 11v = 15 + 103 11v = 15 + 103 Combine like terms: 15 + 103 = 118 11v = 118 Divide each side by '11'. v = 10.72727273 Simplifying v = 10.72727273
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