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Simplifying 8v + -33 = -5(v + 4) Reorder the terms: -33 + 8v = -5(v + 4) Reorder the terms: -33 + 8v = -5(4 + v) -33 + 8v = (4 * -5 + v * -5) -33 + 8v = (-20 + -5v) Solving -33 + 8v = -20 + -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. -33 + 8v + 5v = -20 + -5v + 5v Combine like terms: 8v + 5v = 13v -33 + 13v = -20 + -5v + 5v Combine like terms: -5v + 5v = 0 -33 + 13v = -20 + 0 -33 + 13v = -20 Add '33' to each side of the equation. -33 + 33 + 13v = -20 + 33 Combine like terms: -33 + 33 = 0 0 + 13v = -20 + 33 13v = -20 + 33 Combine like terms: -20 + 33 = 13 13v = 13 Divide each side by '13'. v = 1 Simplifying v = 1
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