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Simplifying 24 + 3v = -7(6v + 3) Reorder the terms: 24 + 3v = -7(3 + 6v) 24 + 3v = (3 * -7 + 6v * -7) 24 + 3v = (-21 + -42v) Solving 24 + 3v = -21 + -42v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '42v' to each side of the equation. 24 + 3v + 42v = -21 + -42v + 42v Combine like terms: 3v + 42v = 45v 24 + 45v = -21 + -42v + 42v Combine like terms: -42v + 42v = 0 24 + 45v = -21 + 0 24 + 45v = -21 Add '-24' to each side of the equation. 24 + -24 + 45v = -21 + -24 Combine like terms: 24 + -24 = 0 0 + 45v = -21 + -24 45v = -21 + -24 Combine like terms: -21 + -24 = -45 45v = -45 Divide each side by '45'. v = -1 Simplifying v = -1
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