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Simplifying 19 = 4v + 3(v + -3) Reorder the terms: 19 = 4v + 3(-3 + v) 19 = 4v + (-3 * 3 + v * 3) 19 = 4v + (-9 + 3v) Reorder the terms: 19 = -9 + 4v + 3v Combine like terms: 4v + 3v = 7v 19 = -9 + 7v Solving 19 = -9 + 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. 19 + -7v = -9 + 7v + -7v Combine like terms: 7v + -7v = 0 19 + -7v = -9 + 0 19 + -7v = -9 Add '-19' to each side of the equation. 19 + -19 + -7v = -9 + -19 Combine like terms: 19 + -19 = 0 0 + -7v = -9 + -19 -7v = -9 + -19 Combine like terms: -9 + -19 = -28 -7v = -28 Divide each side by '-7'. v = 4 Simplifying v = 4
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