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Simplifying 7[v + -82] = 35 Reorder the terms: 7[-82 + v] = 35 [-82 * 7 + v * 7] = 35 [-574 + 7v] = 35 Solving -574 + 7v = 35 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '574' to each side of the equation. -574 + 574 + 7v = 35 + 574 Combine like terms: -574 + 574 = 0 0 + 7v = 35 + 574 7v = 35 + 574 Combine like terms: 35 + 574 = 609 7v = 609 Divide each side by '7'. v = 87 Simplifying v = 87
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