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Simplifying -3(v + 9) = -1(10v + -1) Reorder the terms: -3(9 + v) = -1(10v + -1) (9 * -3 + v * -3) = -1(10v + -1) (-27 + -3v) = -1(10v + -1) Reorder the terms: -27 + -3v = -1(-1 + 10v) -27 + -3v = (-1 * -1 + 10v * -1) -27 + -3v = (1 + -10v) Solving -27 + -3v = 1 + -10v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '10v' to each side of the equation. -27 + -3v + 10v = 1 + -10v + 10v Combine like terms: -3v + 10v = 7v -27 + 7v = 1 + -10v + 10v Combine like terms: -10v + 10v = 0 -27 + 7v = 1 + 0 -27 + 7v = 1 Add '27' to each side of the equation. -27 + 27 + 7v = 1 + 27 Combine like terms: -27 + 27 = 0 0 + 7v = 1 + 27 7v = 1 + 27 Combine like terms: 1 + 27 = 28 7v = 28 Divide each side by '7'. v = 4 Simplifying v = 4
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