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Simplifying -10 + -8(v + 1) = -1(10v + -12) Reorder the terms: -10 + -8(1 + v) = -1(10v + -12) -10 + (1 * -8 + v * -8) = -1(10v + -12) -10 + (-8 + -8v) = -1(10v + -12) Combine like terms: -10 + -8 = -18 -18 + -8v = -1(10v + -12) Reorder the terms: -18 + -8v = -1(-12 + 10v) -18 + -8v = (-12 * -1 + 10v * -1) -18 + -8v = (12 + -10v) Solving -18 + -8v = 12 + -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. -18 + -8v + 10v = 12 + -10v + 10v Combine like terms: -8v + 10v = 2v -18 + 2v = 12 + -10v + 10v Combine like terms: -10v + 10v = 0 -18 + 2v = 12 + 0 -18 + 2v = 12 Add '18' to each side of the equation. -18 + 18 + 2v = 12 + 18 Combine like terms: -18 + 18 = 0 0 + 2v = 12 + 18 2v = 12 + 18 Combine like terms: 12 + 18 = 30 2v = 30 Divide each side by '2'. v = 15 Simplifying v = 15
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