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Simplifying 19(3 + -1v) + 10v = -15 (3 * 19 + -1v * 19) + 10v = -15 (57 + -19v) + 10v = -15 Combine like terms: -19v + 10v = -9v 57 + -9v = -15 Solving 57 + -9v = -15 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-57' to each side of the equation. 57 + -57 + -9v = -15 + -57 Combine like terms: 57 + -57 = 0 0 + -9v = -15 + -57 -9v = -15 + -57 Combine like terms: -15 + -57 = -72 -9v = -72 Divide each side by '-9'. v = 8 Simplifying v = 8
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