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Simplifying 7v + -15 + 7v = 7v + 48 Reorder the terms: -15 + 7v + 7v = 7v + 48 Combine like terms: 7v + 7v = 14v -15 + 14v = 7v + 48 Reorder the terms: -15 + 14v = 48 + 7v Solving -15 + 14v = 48 + 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. -15 + 14v + -7v = 48 + 7v + -7v Combine like terms: 14v + -7v = 7v -15 + 7v = 48 + 7v + -7v Combine like terms: 7v + -7v = 0 -15 + 7v = 48 + 0 -15 + 7v = 48 Add '15' to each side of the equation. -15 + 15 + 7v = 48 + 15 Combine like terms: -15 + 15 = 0 0 + 7v = 48 + 15 7v = 48 + 15 Combine like terms: 48 + 15 = 63 7v = 63 Divide each side by '7'. v = 9 Simplifying v = 9
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