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Simplifying 7(v + -9) = 6(v + -10) Reorder the terms: 7(-9 + v) = 6(v + -10) (-9 * 7 + v * 7) = 6(v + -10) (-63 + 7v) = 6(v + -10) Reorder the terms: -63 + 7v = 6(-10 + v) -63 + 7v = (-10 * 6 + v * 6) -63 + 7v = (-60 + 6v) Solving -63 + 7v = -60 + 6v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-6v' to each side of the equation. -63 + 7v + -6v = -60 + 6v + -6v Combine like terms: 7v + -6v = 1v -63 + 1v = -60 + 6v + -6v Combine like terms: 6v + -6v = 0 -63 + 1v = -60 + 0 -63 + 1v = -60 Add '63' to each side of the equation. -63 + 63 + 1v = -60 + 63 Combine like terms: -63 + 63 = 0 0 + 1v = -60 + 63 1v = -60 + 63 Combine like terms: -60 + 63 = 3 1v = 3 Divide each side by '1'. v = 3 Simplifying v = 3
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