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Simplifying 5(v + 1) = -6v + 38 Reorder the terms: 5(1 + v) = -6v + 38 (1 * 5 + v * 5) = -6v + 38 (5 + 5v) = -6v + 38 Reorder the terms: 5 + 5v = 38 + -6v Solving 5 + 5v = 38 + -6v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '6v' to each side of the equation. 5 + 5v + 6v = 38 + -6v + 6v Combine like terms: 5v + 6v = 11v 5 + 11v = 38 + -6v + 6v Combine like terms: -6v + 6v = 0 5 + 11v = 38 + 0 5 + 11v = 38 Add '-5' to each side of the equation. 5 + -5 + 11v = 38 + -5 Combine like terms: 5 + -5 = 0 0 + 11v = 38 + -5 11v = 38 + -5 Combine like terms: 38 + -5 = 33 11v = 33 Divide each side by '11'. v = 3 Simplifying v = 3
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