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Simplifying 19 = 2(v + -9) + -1(-5) Reorder the terms: 19 = 2(-9 + v) + -1(-5) 19 = (-9 * 2 + v * 2) + -1(-5) 19 = (-18 + 2v) + -1(-5) Multiply -1 * -5 19 = -18 + 2v + 5 Reorder the terms: 19 = -18 + 5 + 2v Combine like terms: -18 + 5 = -13 19 = -13 + 2v Solving 19 = -13 + 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. 19 + -2v = -13 + 2v + -2v Combine like terms: 2v + -2v = 0 19 + -2v = -13 + 0 19 + -2v = -13 Add '-19' to each side of the equation. 19 + -19 + -2v = -13 + -19 Combine like terms: 19 + -19 = 0 0 + -2v = -13 + -19 -2v = -13 + -19 Combine like terms: -13 + -19 = -32 -2v = -32 Divide each side by '-2'. v = 16 Simplifying v = 16
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