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Simplifying 84 = 7(1v + 5) Reorder the terms: 84 = 7(5 + 1v) 84 = (5 * 7 + 1v * 7) 84 = (35 + 7v) Solving 84 = 35 + 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. 84 + -7v = 35 + 7v + -7v Combine like terms: 7v + -7v = 0 84 + -7v = 35 + 0 84 + -7v = 35 Add '-84' to each side of the equation. 84 + -84 + -7v = 35 + -84 Combine like terms: 84 + -84 = 0 0 + -7v = 35 + -84 -7v = 35 + -84 Combine like terms: 35 + -84 = -49 -7v = -49 Divide each side by '-7'. v = 7 Simplifying v = 7
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