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Simplifying 3 + -7v = 1 + -3(v + -6) Reorder the terms: 3 + -7v = 1 + -3(-6 + v) 3 + -7v = 1 + (-6 * -3 + v * -3) 3 + -7v = 1 + (18 + -3v) Combine like terms: 1 + 18 = 19 3 + -7v = 19 + -3v Solving 3 + -7v = 19 + -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. 3 + -7v + 3v = 19 + -3v + 3v Combine like terms: -7v + 3v = -4v 3 + -4v = 19 + -3v + 3v Combine like terms: -3v + 3v = 0 3 + -4v = 19 + 0 3 + -4v = 19 Add '-3' to each side of the equation. 3 + -3 + -4v = 19 + -3 Combine like terms: 3 + -3 = 0 0 + -4v = 19 + -3 -4v = 19 + -3 Combine like terms: 19 + -3 = 16 -4v = 16 Divide each side by '-4'. v = -4 Simplifying v = -4
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