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Simplifying -8(v + 2) = -5(v + 2) Reorder the terms: -8(2 + v) = -5(v + 2) (2 * -8 + v * -8) = -5(v + 2) (-16 + -8v) = -5(v + 2) Reorder the terms: -16 + -8v = -5(2 + v) -16 + -8v = (2 * -5 + v * -5) -16 + -8v = (-10 + -5v) Solving -16 + -8v = -10 + -5v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '5v' to each side of the equation. -16 + -8v + 5v = -10 + -5v + 5v Combine like terms: -8v + 5v = -3v -16 + -3v = -10 + -5v + 5v Combine like terms: -5v + 5v = 0 -16 + -3v = -10 + 0 -16 + -3v = -10 Add '16' to each side of the equation. -16 + 16 + -3v = -10 + 16 Combine like terms: -16 + 16 = 0 0 + -3v = -10 + 16 -3v = -10 + 16 Combine like terms: -10 + 16 = 6 -3v = 6 Divide each side by '-3'. v = -2 Simplifying v = -2
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