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Simplifying -10 + 7(1 + 5v) = 4(1 + 9v) -10 + (1 * 7 + 5v * 7) = 4(1 + 9v) -10 + (7 + 35v) = 4(1 + 9v) Combine like terms: -10 + 7 = -3 -3 + 35v = 4(1 + 9v) -3 + 35v = (1 * 4 + 9v * 4) -3 + 35v = (4 + 36v) Solving -3 + 35v = 4 + 36v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-36v' to each side of the equation. -3 + 35v + -36v = 4 + 36v + -36v Combine like terms: 35v + -36v = -1v -3 + -1v = 4 + 36v + -36v Combine like terms: 36v + -36v = 0 -3 + -1v = 4 + 0 -3 + -1v = 4 Add '3' to each side of the equation. -3 + 3 + -1v = 4 + 3 Combine like terms: -3 + 3 = 0 0 + -1v = 4 + 3 -1v = 4 + 3 Combine like terms: 4 + 3 = 7 -1v = 7 Divide each side by '-1'. v = -7 Simplifying v = -7
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