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Simplifying 9(7 + -1v) + z = -33 (7 * 9 + -1v * 9) + z = -33 (63 + -9v) + z = -33 Solving 63 + -9v + z = -33 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-63' to each side of the equation. 63 + -9v + -63 + z = -33 + -63 Reorder the terms: 63 + -63 + -9v + z = -33 + -63 Combine like terms: 63 + -63 = 0 0 + -9v + z = -33 + -63 -9v + z = -33 + -63 Combine like terms: -33 + -63 = -96 -9v + z = -96 Add '-1z' to each side of the equation. -9v + z + -1z = -96 + -1z Combine like terms: z + -1z = 0 -9v + 0 = -96 + -1z -9v = -96 + -1z Divide each side by '-9'. v = 10.66666667 + 0.1111111111z Simplifying v = 10.66666667 + 0.1111111111z
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