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Simplifying 7(v + 5) = 56 Reorder the terms: 7(5 + v) = 56 (5 * 7 + v * 7) = 56 (35 + 7v) = 56 Solving 35 + 7v = 56 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-35' to each side of the equation. 35 + -35 + 7v = 56 + -35 Combine like terms: 35 + -35 = 0 0 + 7v = 56 + -35 7v = 56 + -35 Combine like terms: 56 + -35 = 21 7v = 21 Divide each side by '7'. v = 3 Simplifying v = 3
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