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Simplifying -8(v + 1) = v + -1(8v + 6) Reorder the terms: -8(1 + v) = v + -1(8v + 6) (1 * -8 + v * -8) = v + -1(8v + 6) (-8 + -8v) = v + -1(8v + 6) Reorder the terms: -8 + -8v = v + -1(6 + 8v) -8 + -8v = v + (6 * -1 + 8v * -1) -8 + -8v = v + (-6 + -8v) Reorder the terms: -8 + -8v = -6 + v + -8v Combine like terms: v + -8v = -7v -8 + -8v = -6 + -7v Solving -8 + -8v = -6 + -7v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '7v' to each side of the equation. -8 + -8v + 7v = -6 + -7v + 7v Combine like terms: -8v + 7v = -1v -8 + -1v = -6 + -7v + 7v Combine like terms: -7v + 7v = 0 -8 + -1v = -6 + 0 -8 + -1v = -6 Add '8' to each side of the equation. -8 + 8 + -1v = -6 + 8 Combine like terms: -8 + 8 = 0 0 + -1v = -6 + 8 -1v = -6 + 8 Combine like terms: -6 + 8 = 2 -1v = 2 Divide each side by '-1'. v = -2 Simplifying v = -2
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