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Simplifying 6v + 33 = 7(v + 4) Reorder the terms: 33 + 6v = 7(v + 4) Reorder the terms: 33 + 6v = 7(4 + v) 33 + 6v = (4 * 7 + v * 7) 33 + 6v = (28 + 7v) Solving 33 + 6v = 28 + 7v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-7v' to each side of the equation. 33 + 6v + -7v = 28 + 7v + -7v Combine like terms: 6v + -7v = -1v 33 + -1v = 28 + 7v + -7v Combine like terms: 7v + -7v = 0 33 + -1v = 28 + 0 33 + -1v = 28 Add '-33' to each side of the equation. 33 + -33 + -1v = 28 + -33 Combine like terms: 33 + -33 = 0 0 + -1v = 28 + -33 -1v = 28 + -33 Combine like terms: 28 + -33 = -5 -1v = -5 Divide each side by '-1'. v = 5 Simplifying v = 5
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