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Simplifying 24 = -2v + 7(v + -3) Reorder the terms: 24 = -2v + 7(-3 + v) 24 = -2v + (-3 * 7 + v * 7) 24 = -2v + (-21 + 7v) Reorder the terms: 24 = -21 + -2v + 7v Combine like terms: -2v + 7v = 5v 24 = -21 + 5v Solving 24 = -21 + 5v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-5v' to each side of the equation. 24 + -5v = -21 + 5v + -5v Combine like terms: 5v + -5v = 0 24 + -5v = -21 + 0 24 + -5v = -21 Add '-24' to each side of the equation. 24 + -24 + -5v = -21 + -24 Combine like terms: 24 + -24 = 0 0 + -5v = -21 + -24 -5v = -21 + -24 Combine like terms: -21 + -24 = -45 -5v = -45 Divide each side by '-5'. v = 9 Simplifying v = 9
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