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Simplifying -7v + 19 = 3(v + 3) Reorder the terms: 19 + -7v = 3(v + 3) Reorder the terms: 19 + -7v = 3(3 + v) 19 + -7v = (3 * 3 + v * 3) 19 + -7v = (9 + 3v) Solving 19 + -7v = 9 + 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. 19 + -7v + -3v = 9 + 3v + -3v Combine like terms: -7v + -3v = -10v 19 + -10v = 9 + 3v + -3v Combine like terms: 3v + -3v = 0 19 + -10v = 9 + 0 19 + -10v = 9 Add '-19' to each side of the equation. 19 + -19 + -10v = 9 + -19 Combine like terms: 19 + -19 = 0 0 + -10v = 9 + -19 -10v = 9 + -19 Combine like terms: 9 + -19 = -10 -10v = -10 Divide each side by '-10'. v = 1 Simplifying v = 1
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