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Simplifying 5(1 + -3v) + 1 = -16 + -4v (1 * 5 + -3v * 5) + 1 = -16 + -4v (5 + -15v) + 1 = -16 + -4v Reorder the terms: 5 + 1 + -15v = -16 + -4v Combine like terms: 5 + 1 = 6 6 + -15v = -16 + -4v Solving 6 + -15v = -16 + -4v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '4v' to each side of the equation. 6 + -15v + 4v = -16 + -4v + 4v Combine like terms: -15v + 4v = -11v 6 + -11v = -16 + -4v + 4v Combine like terms: -4v + 4v = 0 6 + -11v = -16 + 0 6 + -11v = -16 Add '-6' to each side of the equation. 6 + -6 + -11v = -16 + -6 Combine like terms: 6 + -6 = 0 0 + -11v = -16 + -6 -11v = -16 + -6 Combine like terms: -16 + -6 = -22 -11v = -22 Divide each side by '-11'. v = 2 Simplifying v = 2
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