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Simplifying 3(2v + -5) + 3(v + -5) + -2(3v + -1) = -25 Reorder the terms: 3(-5 + 2v) + 3(v + -5) + -2(3v + -1) = -25 (-5 * 3 + 2v * 3) + 3(v + -5) + -2(3v + -1) = -25 (-15 + 6v) + 3(v + -5) + -2(3v + -1) = -25 Reorder the terms: -15 + 6v + 3(-5 + v) + -2(3v + -1) = -25 -15 + 6v + (-5 * 3 + v * 3) + -2(3v + -1) = -25 -15 + 6v + (-15 + 3v) + -2(3v + -1) = -25 Reorder the terms: -15 + 6v + -15 + 3v + -2(-1 + 3v) = -25 -15 + 6v + -15 + 3v + (-1 * -2 + 3v * -2) = -25 -15 + 6v + -15 + 3v + (2 + -6v) = -25 Reorder the terms: -15 + -15 + 2 + 6v + 3v + -6v = -25 Combine like terms: -15 + -15 = -30 -30 + 2 + 6v + 3v + -6v = -25 Combine like terms: -30 + 2 = -28 -28 + 6v + 3v + -6v = -25 Combine like terms: 6v + 3v = 9v -28 + 9v + -6v = -25 Combine like terms: 9v + -6v = 3v -28 + 3v = -25 Solving -28 + 3v = -25 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '28' to each side of the equation. -28 + 28 + 3v = -25 + 28 Combine like terms: -28 + 28 = 0 0 + 3v = -25 + 28 3v = -25 + 28 Combine like terms: -25 + 28 = 3 3v = 3 Divide each side by '3'. v = 1 Simplifying v = 1
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