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Simplifying 5(1 + -3v) = -8v + -16 (1 * 5 + -3v * 5) = -8v + -16 (5 + -15v) = -8v + -16 Reorder the terms: 5 + -15v = -16 + -8v Solving 5 + -15v = -16 + -8v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '8v' to each side of the equation. 5 + -15v + 8v = -16 + -8v + 8v Combine like terms: -15v + 8v = -7v 5 + -7v = -16 + -8v + 8v Combine like terms: -8v + 8v = 0 5 + -7v = -16 + 0 5 + -7v = -16 Add '-5' to each side of the equation. 5 + -5 + -7v = -16 + -5 Combine like terms: 5 + -5 = 0 0 + -7v = -16 + -5 -7v = -16 + -5 Combine like terms: -16 + -5 = -21 -7v = -21 Divide each side by '-7'. v = 3 Simplifying v = 3
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