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Simplifying -8(v + 1) = -5v + 16 Reorder the terms: -8(1 + v) = -5v + 16 (1 * -8 + v * -8) = -5v + 16 (-8 + -8v) = -5v + 16 Reorder the terms: -8 + -8v = 16 + -5v Solving -8 + -8v = 16 + -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. -8 + -8v + 5v = 16 + -5v + 5v Combine like terms: -8v + 5v = -3v -8 + -3v = 16 + -5v + 5v Combine like terms: -5v + 5v = 0 -8 + -3v = 16 + 0 -8 + -3v = 16 Add '8' to each side of the equation. -8 + 8 + -3v = 16 + 8 Combine like terms: -8 + 8 = 0 0 + -3v = 16 + 8 -3v = 16 + 8 Combine like terms: 16 + 8 = 24 -3v = 24 Divide each side by '-3'. v = -8 Simplifying v = -8
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