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Simplifying 7 = 3v + -1(-1) Multiply -1 * -1 7 = 3v + 1 Reorder the terms: 7 = 1 + 3v Solving 7 = 1 + 3v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-3v' to each side of the equation. 7 + -3v = 1 + 3v + -3v Combine like terms: 3v + -3v = 0 7 + -3v = 1 + 0 7 + -3v = 1 Add '-7' to each side of the equation. 7 + -7 + -3v = 1 + -7 Combine like terms: 7 + -7 = 0 0 + -3v = 1 + -7 -3v = 1 + -7 Combine like terms: 1 + -7 = -6 -3v = -6 Divide each side by '-3'. v = 2 Simplifying v = 2
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