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Simplifying 9v + 70 = 10v + 65 Reorder the terms: 70 + 9v = 10v + 65 Reorder the terms: 70 + 9v = 65 + 10v Solving 70 + 9v = 65 + 10v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-10v' to each side of the equation. 70 + 9v + -10v = 65 + 10v + -10v Combine like terms: 9v + -10v = -1v 70 + -1v = 65 + 10v + -10v Combine like terms: 10v + -10v = 0 70 + -1v = 65 + 0 70 + -1v = 65 Add '-70' to each side of the equation. 70 + -70 + -1v = 65 + -70 Combine like terms: 70 + -70 = 0 0 + -1v = 65 + -70 -1v = 65 + -70 Combine like terms: 65 + -70 = -5 -1v = -5 Divide each side by '-1'. v = 5 Simplifying v = 5
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