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Simplifying -74 = -2v + -2(1 + 8v) -74 = -2v + (1 * -2 + 8v * -2) -74 = -2v + (-2 + -16v) Reorder the terms: -74 = -2 + -2v + -16v Combine like terms: -2v + -16v = -18v -74 = -2 + -18v Solving -74 = -2 + -18v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '18v' to each side of the equation. -74 + 18v = -2 + -18v + 18v Combine like terms: -18v + 18v = 0 -74 + 18v = -2 + 0 -74 + 18v = -2 Add '74' to each side of the equation. -74 + 74 + 18v = -2 + 74 Combine like terms: -74 + 74 = 0 0 + 18v = -2 + 74 18v = -2 + 74 Combine like terms: -2 + 74 = 72 18v = 72 Divide each side by '18'. v = 4 Simplifying v = 4
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