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Simplifying 7(v + 3) + 6 = 83 Reorder the terms: 7(3 + v) + 6 = 83 (3 * 7 + v * 7) + 6 = 83 (21 + 7v) + 6 = 83 Reorder the terms: 21 + 6 + 7v = 83 Combine like terms: 21 + 6 = 27 27 + 7v = 83 Solving 27 + 7v = 83 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-27' to each side of the equation. 27 + -27 + 7v = 83 + -27 Combine like terms: 27 + -27 = 0 0 + 7v = 83 + -27 7v = 83 + -27 Combine like terms: 83 + -27 = 56 7v = 56 Divide each side by '7'. v = 8 Simplifying v = 8
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