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Simplifying -2(v + 5) + -1(-1 + v) = 21 Reorder the terms: -2(5 + v) + -1(-1 + v) = 21 (5 * -2 + v * -2) + -1(-1 + v) = 21 (-10 + -2v) + -1(-1 + v) = 21 -10 + -2v + (-1 * -1 + v * -1) = 21 -10 + -2v + (1 + -1v) = 21 Reorder the terms: -10 + 1 + -2v + -1v = 21 Combine like terms: -10 + 1 = -9 -9 + -2v + -1v = 21 Combine like terms: -2v + -1v = -3v -9 + -3v = 21 Solving -9 + -3v = 21 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 9 + -3v = 21 + 9 Combine like terms: -9 + 9 = 0 0 + -3v = 21 + 9 -3v = 21 + 9 Combine like terms: 21 + 9 = 30 -3v = 30 Divide each side by '-3'. v = -10 Simplifying v = -10
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