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Simplifying 17 + -4v = 5(v + -3) + 3 Reorder the terms: 17 + -4v = 5(-3 + v) + 3 17 + -4v = (-3 * 5 + v * 5) + 3 17 + -4v = (-15 + 5v) + 3 Reorder the terms: 17 + -4v = -15 + 3 + 5v Combine like terms: -15 + 3 = -12 17 + -4v = -12 + 5v Solving 17 + -4v = -12 + 5v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-5v' to each side of the equation. 17 + -4v + -5v = -12 + 5v + -5v Combine like terms: -4v + -5v = -9v 17 + -9v = -12 + 5v + -5v Combine like terms: 5v + -5v = 0 17 + -9v = -12 + 0 17 + -9v = -12 Add '-17' to each side of the equation. 17 + -17 + -9v = -12 + -17 Combine like terms: 17 + -17 = 0 0 + -9v = -12 + -17 -9v = -12 + -17 Combine like terms: -12 + -17 = -29 -9v = -29 Divide each side by '-9'. v = 3.222222222 Simplifying v = 3.222222222
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