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Simplifying -14 = 6(v + -6) + 4(5v + -1) Reorder the terms: -14 = 6(-6 + v) + 4(5v + -1) -14 = (-6 * 6 + v * 6) + 4(5v + -1) -14 = (-36 + 6v) + 4(5v + -1) Reorder the terms: -14 = -36 + 6v + 4(-1 + 5v) -14 = -36 + 6v + (-1 * 4 + 5v * 4) -14 = -36 + 6v + (-4 + 20v) Reorder the terms: -14 = -36 + -4 + 6v + 20v Combine like terms: -36 + -4 = -40 -14 = -40 + 6v + 20v Combine like terms: 6v + 20v = 26v -14 = -40 + 26v Solving -14 = -40 + 26v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-26v' to each side of the equation. -14 + -26v = -40 + 26v + -26v Combine like terms: 26v + -26v = 0 -14 + -26v = -40 + 0 -14 + -26v = -40 Add '14' to each side of the equation. -14 + 14 + -26v = -40 + 14 Combine like terms: -14 + 14 = 0 0 + -26v = -40 + 14 -26v = -40 + 14 Combine like terms: -40 + 14 = -26 -26v = -26 Divide each side by '-26'. v = 1 Simplifying v = 1
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