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Simplifying -5(v + 1) = 6v + -16 Reorder the terms: -5(1 + v) = 6v + -16 (1 * -5 + v * -5) = 6v + -16 (-5 + -5v) = 6v + -16 Reorder the terms: -5 + -5v = -16 + 6v Solving -5 + -5v = -16 + 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. -5 + -5v + -6v = -16 + 6v + -6v Combine like terms: -5v + -6v = -11v -5 + -11v = -16 + 6v + -6v Combine like terms: 6v + -6v = 0 -5 + -11v = -16 + 0 -5 + -11v = -16 Add '5' to each side of the equation. -5 + 5 + -11v = -16 + 5 Combine like terms: -5 + 5 = 0 0 + -11v = -16 + 5 -11v = -16 + 5 Combine like terms: -16 + 5 = -11 -11v = -11 Divide each side by '-11'. v = 1 Simplifying v = 1
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