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Simplifying -22 = 6(1 + 2v) + 4(5v + 1) -22 = (1 * 6 + 2v * 6) + 4(5v + 1) -22 = (6 + 12v) + 4(5v + 1) Reorder the terms: -22 = 6 + 12v + 4(1 + 5v) -22 = 6 + 12v + (1 * 4 + 5v * 4) -22 = 6 + 12v + (4 + 20v) Reorder the terms: -22 = 6 + 4 + 12v + 20v Combine like terms: 6 + 4 = 10 -22 = 10 + 12v + 20v Combine like terms: 12v + 20v = 32v -22 = 10 + 32v Solving -22 = 10 + 32v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-32v' to each side of the equation. -22 + -32v = 10 + 32v + -32v Combine like terms: 32v + -32v = 0 -22 + -32v = 10 + 0 -22 + -32v = 10 Add '22' to each side of the equation. -22 + 22 + -32v = 10 + 22 Combine like terms: -22 + 22 = 0 0 + -32v = 10 + 22 -32v = 10 + 22 Combine like terms: 10 + 22 = 32 -32v = 32 Divide each side by '-32'. v = -1 Simplifying v = -1
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