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Simplifying -3 + 7(x + -2) = 7(x + 8v) Reorder the terms: -3 + 7(-2 + x) = 7(x + 8v) -3 + (-2 * 7 + x * 7) = 7(x + 8v) -3 + (-14 + 7x) = 7(x + 8v) Combine like terms: -3 + -14 = -17 -17 + 7x = 7(x + 8v) Reorder the terms: -17 + 7x = 7(8v + x) -17 + 7x = (8v * 7 + x * 7) -17 + 7x = (56v + 7x) Add '-7x' to each side of the equation. -17 + 7x + -7x = 56v + 7x + -7x Combine like terms: 7x + -7x = 0 -17 + 0 = 56v + 7x + -7x -17 = 56v + 7x + -7x Combine like terms: 7x + -7x = 0 -17 = 56v + 0 -17 = 56v Solving -17 = 56v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-56v' to each side of the equation. -17 + -56v = 56v + -56v Combine like terms: 56v + -56v = 0 -17 + -56v = 0 Add '17' to each side of the equation. -17 + 17 + -56v = 0 + 17 Combine like terms: -17 + 17 = 0 0 + -56v = 0 + 17 -56v = 0 + 17 Combine like terms: 0 + 17 = 17 -56v = 17 Divide each side by '-56'. v = -0.3035714286 Simplifying v = -0.3035714286
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