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Simplifying -3(v + 5) + 2(8v + 1) = 78 Reorder the terms: -3(5 + v) + 2(8v + 1) = 78 (5 * -3 + v * -3) + 2(8v + 1) = 78 (-15 + -3v) + 2(8v + 1) = 78 Reorder the terms: -15 + -3v + 2(1 + 8v) = 78 -15 + -3v + (1 * 2 + 8v * 2) = 78 -15 + -3v + (2 + 16v) = 78 Reorder the terms: -15 + 2 + -3v + 16v = 78 Combine like terms: -15 + 2 = -13 -13 + -3v + 16v = 78 Combine like terms: -3v + 16v = 13v -13 + 13v = 78 Solving -13 + 13v = 78 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 = 78 + 13 Combine like terms: -13 + 13 = 0 0 + 13v = 78 + 13 13v = 78 + 13 Combine like terms: 78 + 13 = 91 13v = 91 Divide each side by '13'. v = 7 Simplifying v = 7
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