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Simplifying -5(1 + 3v) = -33 + -8v (1 * -5 + 3v * -5) = -33 + -8v (-5 + -15v) = -33 + -8v Solving -5 + -15v = -33 + -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 = -33 + -8v + 8v Combine like terms: -15v + 8v = -7v -5 + -7v = -33 + -8v + 8v Combine like terms: -8v + 8v = 0 -5 + -7v = -33 + 0 -5 + -7v = -33 Add '5' to each side of the equation. -5 + 5 + -7v = -33 + 5 Combine like terms: -5 + 5 = 0 0 + -7v = -33 + 5 -7v = -33 + 5 Combine like terms: -33 + 5 = -28 -7v = -28 Divide each side by '-7'. v = 4 Simplifying v = 4
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