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Simplifying 3 + 7(v + 6) = 101 Reorder the terms: 3 + 7(6 + v) = 101 3 + (6 * 7 + v * 7) = 101 3 + (42 + 7v) = 101 Combine like terms: 3 + 42 = 45 45 + 7v = 101 Solving 45 + 7v = 101 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-45' to each side of the equation. 45 + -45 + 7v = 101 + -45 Combine like terms: 45 + -45 = 0 0 + 7v = 101 + -45 7v = 101 + -45 Combine like terms: 101 + -45 = 56 7v = 56 Divide each side by '7'. v = 8 Simplifying v = 8
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