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Simplifying 7(v + 6) = 3v + 26 Reorder the terms: 7(6 + v) = 3v + 26 (6 * 7 + v * 7) = 3v + 26 (42 + 7v) = 3v + 26 Reorder the terms: 42 + 7v = 26 + 3v Solving 42 + 7v = 26 + 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. 42 + 7v + -3v = 26 + 3v + -3v Combine like terms: 7v + -3v = 4v 42 + 4v = 26 + 3v + -3v Combine like terms: 3v + -3v = 0 42 + 4v = 26 + 0 42 + 4v = 26 Add '-42' to each side of the equation. 42 + -42 + 4v = 26 + -42 Combine like terms: 42 + -42 = 0 0 + 4v = 26 + -42 4v = 26 + -42 Combine like terms: 26 + -42 = -16 4v = -16 Divide each side by '4'. v = -4 Simplifying v = -4
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