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Simplifying 3v + 4(v + 3) = 19 Reorder the terms: 3v + 4(3 + v) = 19 3v + (3 * 4 + v * 4) = 19 3v + (12 + 4v) = 19 Reorder the terms: 12 + 3v + 4v = 19 Combine like terms: 3v + 4v = 7v 12 + 7v = 19 Solving 12 + 7v = 19 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + 7v = 19 + -12 Combine like terms: 12 + -12 = 0 0 + 7v = 19 + -12 7v = 19 + -12 Combine like terms: 19 + -12 = 7 7v = 7 Divide each side by '7'. v = 1 Simplifying v = 1
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