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Simplifying -199 = 7(1 + -5v) + 4 -199 = (1 * 7 + -5v * 7) + 4 -199 = (7 + -35v) + 4 Reorder the terms: -199 = 7 + 4 + -35v Combine like terms: 7 + 4 = 11 -199 = 11 + -35v Solving -199 = 11 + -35v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '35v' to each side of the equation. -199 + 35v = 11 + -35v + 35v Combine like terms: -35v + 35v = 0 -199 + 35v = 11 + 0 -199 + 35v = 11 Add '199' to each side of the equation. -199 + 199 + 35v = 11 + 199 Combine like terms: -199 + 199 = 0 0 + 35v = 11 + 199 35v = 11 + 199 Combine like terms: 11 + 199 = 210 35v = 210 Divide each side by '35'. v = 6 Simplifying v = 6
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