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Simplifying -4 + 7(1 + 3v) = 45 -4 + (1 * 7 + 3v * 7) = 45 -4 + (7 + 21v) = 45 Combine like terms: -4 + 7 = 3 3 + 21v = 45 Solving 3 + 21v = 45 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + 21v = 45 + -3 Combine like terms: 3 + -3 = 0 0 + 21v = 45 + -3 21v = 45 + -3 Combine like terms: 45 + -3 = 42 21v = 42 Divide each side by '21'. v = 2 Simplifying v = 2
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