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Simplifying 7(v + -2) + -9 = -2(-3v + 4) + -9v Reorder the terms: 7(-2 + v) + -9 = -2(-3v + 4) + -9v (-2 * 7 + v * 7) + -9 = -2(-3v + 4) + -9v (-14 + 7v) + -9 = -2(-3v + 4) + -9v Reorder the terms: -14 + -9 + 7v = -2(-3v + 4) + -9v Combine like terms: -14 + -9 = -23 -23 + 7v = -2(-3v + 4) + -9v Reorder the terms: -23 + 7v = -2(4 + -3v) + -9v -23 + 7v = (4 * -2 + -3v * -2) + -9v -23 + 7v = (-8 + 6v) + -9v Combine like terms: 6v + -9v = -3v -23 + 7v = -8 + -3v Solving -23 + 7v = -8 + -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. -23 + 7v + 3v = -8 + -3v + 3v Combine like terms: 7v + 3v = 10v -23 + 10v = -8 + -3v + 3v Combine like terms: -3v + 3v = 0 -23 + 10v = -8 + 0 -23 + 10v = -8 Add '23' to each side of the equation. -23 + 23 + 10v = -8 + 23 Combine like terms: -23 + 23 = 0 0 + 10v = -8 + 23 10v = -8 + 23 Combine like terms: -8 + 23 = 15 10v = 15 Divide each side by '10'. v = 1.5 Simplifying v = 1.5
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