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Simplifying 2v + -33 = 7(v + -9) Reorder the terms: -33 + 2v = 7(v + -9) Reorder the terms: -33 + 2v = 7(-9 + v) -33 + 2v = (-9 * 7 + v * 7) -33 + 2v = (-63 + 7v) Solving -33 + 2v = -63 + 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 + 2v + -7v = -63 + 7v + -7v Combine like terms: 2v + -7v = -5v -33 + -5v = -63 + 7v + -7v Combine like terms: 7v + -7v = 0 -33 + -5v = -63 + 0 -33 + -5v = -63 Add '33' to each side of the equation. -33 + 33 + -5v = -63 + 33 Combine like terms: -33 + 33 = 0 0 + -5v = -63 + 33 -5v = -63 + 33 Combine like terms: -63 + 33 = -30 -5v = -30 Divide each side by '-5'. v = 6 Simplifying v = 6
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