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Simplifying 4v + -15 = -3(v + -9) Reorder the terms: -15 + 4v = -3(v + -9) Reorder the terms: -15 + 4v = -3(-9 + v) -15 + 4v = (-9 * -3 + v * -3) -15 + 4v = (27 + -3v) Solving -15 + 4v = 27 + -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. -15 + 4v + 3v = 27 + -3v + 3v Combine like terms: 4v + 3v = 7v -15 + 7v = 27 + -3v + 3v Combine like terms: -3v + 3v = 0 -15 + 7v = 27 + 0 -15 + 7v = 27 Add '15' to each side of the equation. -15 + 15 + 7v = 27 + 15 Combine like terms: -15 + 15 = 0 0 + 7v = 27 + 15 7v = 27 + 15 Combine like terms: 27 + 15 = 42 7v = 42 Divide each side by '7'. v = 6 Simplifying v = 6
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