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Simplifying 33 + 5v = 8v + 4(v + 3) Reorder the terms: 33 + 5v = 8v + 4(3 + v) 33 + 5v = 8v + (3 * 4 + v * 4) 33 + 5v = 8v + (12 + 4v) Reorder the terms: 33 + 5v = 12 + 8v + 4v Combine like terms: 8v + 4v = 12v 33 + 5v = 12 + 12v Solving 33 + 5v = 12 + 12v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-12v' to each side of the equation. 33 + 5v + -12v = 12 + 12v + -12v Combine like terms: 5v + -12v = -7v 33 + -7v = 12 + 12v + -12v Combine like terms: 12v + -12v = 0 33 + -7v = 12 + 0 33 + -7v = 12 Add '-33' to each side of the equation. 33 + -33 + -7v = 12 + -33 Combine like terms: 33 + -33 = 0 0 + -7v = 12 + -33 -7v = 12 + -33 Combine like terms: 12 + -33 = -21 -7v = -21 Divide each side by '-7'. v = 3 Simplifying v = 3
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