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Simplifying -36 + -6v = 7(5v + 1) Reorder the terms: -36 + -6v = 7(1 + 5v) -36 + -6v = (1 * 7 + 5v * 7) -36 + -6v = (7 + 35v) Solving -36 + -6v = 7 + 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. -36 + -6v + -35v = 7 + 35v + -35v Combine like terms: -6v + -35v = -41v -36 + -41v = 7 + 35v + -35v Combine like terms: 35v + -35v = 0 -36 + -41v = 7 + 0 -36 + -41v = 7 Add '36' to each side of the equation. -36 + 36 + -41v = 7 + 36 Combine like terms: -36 + 36 = 0 0 + -41v = 7 + 36 -41v = 7 + 36 Combine like terms: 7 + 36 = 43 -41v = 43 Divide each side by '-41'. v = -1.048780488 Simplifying v = -1.048780488
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