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Simplifying 8v + -1 = 2 + 10(v + 12) Reorder the terms: -1 + 8v = 2 + 10(v + 12) Reorder the terms: -1 + 8v = 2 + 10(12 + v) -1 + 8v = 2 + (12 * 10 + v * 10) -1 + 8v = 2 + (120 + 10v) Combine like terms: 2 + 120 = 122 -1 + 8v = 122 + 10v Solving -1 + 8v = 122 + 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. -1 + 8v + -10v = 122 + 10v + -10v Combine like terms: 8v + -10v = -2v -1 + -2v = 122 + 10v + -10v Combine like terms: 10v + -10v = 0 -1 + -2v = 122 + 0 -1 + -2v = 122 Add '1' to each side of the equation. -1 + 1 + -2v = 122 + 1 Combine like terms: -1 + 1 = 0 0 + -2v = 122 + 1 -2v = 122 + 1 Combine like terms: 122 + 1 = 123 -2v = 123 Divide each side by '-2'. v = -61.5 Simplifying v = -61.5
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