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Simplifying 3(2v + -5) + 7(v + 4) = 65 Reorder the terms: 3(-5 + 2v) + 7(v + 4) = 65 (-5 * 3 + 2v * 3) + 7(v + 4) = 65 (-15 + 6v) + 7(v + 4) = 65 Reorder the terms: -15 + 6v + 7(4 + v) = 65 -15 + 6v + (4 * 7 + v * 7) = 65 -15 + 6v + (28 + 7v) = 65 Reorder the terms: -15 + 28 + 6v + 7v = 65 Combine like terms: -15 + 28 = 13 13 + 6v + 7v = 65 Combine like terms: 6v + 7v = 13v 13 + 13v = 65 Solving 13 + 13v = 65 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-13' to each side of the equation. 13 + -13 + 13v = 65 + -13 Combine like terms: 13 + -13 = 0 0 + 13v = 65 + -13 13v = 65 + -13 Combine like terms: 65 + -13 = 52 13v = 52 Divide each side by '13'. v = 4 Simplifying v = 4
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