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Simplifying 6(v + 3) = 5v + 17 Reorder the terms: 6(3 + v) = 5v + 17 (3 * 6 + v * 6) = 5v + 17 (18 + 6v) = 5v + 17 Reorder the terms: 18 + 6v = 17 + 5v Solving 18 + 6v = 17 + 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. 18 + 6v + -5v = 17 + 5v + -5v Combine like terms: 6v + -5v = 1v 18 + 1v = 17 + 5v + -5v Combine like terms: 5v + -5v = 0 18 + 1v = 17 + 0 18 + 1v = 17 Add '-18' to each side of the equation. 18 + -18 + 1v = 17 + -18 Combine like terms: 18 + -18 = 0 0 + 1v = 17 + -18 1v = 17 + -18 Combine like terms: 17 + -18 = -1 1v = -1 Divide each side by '1'. v = -1 Simplifying v = -1
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