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Simplifying 5(v + -3) + -7 = -4(-5v + 12) + -9v Reorder the terms: 5(-3 + v) + -7 = -4(-5v + 12) + -9v (-3 * 5 + v * 5) + -7 = -4(-5v + 12) + -9v (-15 + 5v) + -7 = -4(-5v + 12) + -9v Reorder the terms: -15 + -7 + 5v = -4(-5v + 12) + -9v Combine like terms: -15 + -7 = -22 -22 + 5v = -4(-5v + 12) + -9v Reorder the terms: -22 + 5v = -4(12 + -5v) + -9v -22 + 5v = (12 * -4 + -5v * -4) + -9v -22 + 5v = (-48 + 20v) + -9v Combine like terms: 20v + -9v = 11v -22 + 5v = -48 + 11v Solving -22 + 5v = -48 + 11v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-11v' to each side of the equation. -22 + 5v + -11v = -48 + 11v + -11v Combine like terms: 5v + -11v = -6v -22 + -6v = -48 + 11v + -11v Combine like terms: 11v + -11v = 0 -22 + -6v = -48 + 0 -22 + -6v = -48 Add '22' to each side of the equation. -22 + 22 + -6v = -48 + 22 Combine like terms: -22 + 22 = 0 0 + -6v = -48 + 22 -6v = -48 + 22 Combine like terms: -48 + 22 = -26 -6v = -26 Divide each side by '-6'. v = 4.333333333 Simplifying v = 4.333333333
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