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Simplifying 7v + 7(3v + 6) = 154 Reorder the terms: 7v + 7(6 + 3v) = 154 7v + (6 * 7 + 3v * 7) = 154 7v + (42 + 21v) = 154 Reorder the terms: 42 + 7v + 21v = 154 Combine like terms: 7v + 21v = 28v 42 + 28v = 154 Solving 42 + 28v = 154 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-42' to each side of the equation. 42 + -42 + 28v = 154 + -42 Combine like terms: 42 + -42 = 0 0 + 28v = 154 + -42 28v = 154 + -42 Combine like terms: 154 + -42 = 112 28v = 112 Divide each side by '28'. v = 4 Simplifying v = 4
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