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Simplifying 8v + 45 = -3(v + -4) Reorder the terms: 45 + 8v = -3(v + -4) Reorder the terms: 45 + 8v = -3(-4 + v) 45 + 8v = (-4 * -3 + v * -3) 45 + 8v = (12 + -3v) Solving 45 + 8v = 12 + -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. 45 + 8v + 3v = 12 + -3v + 3v Combine like terms: 8v + 3v = 11v 45 + 11v = 12 + -3v + 3v Combine like terms: -3v + 3v = 0 45 + 11v = 12 + 0 45 + 11v = 12 Add '-45' to each side of the equation. 45 + -45 + 11v = 12 + -45 Combine like terms: 45 + -45 = 0 0 + 11v = 12 + -45 11v = 12 + -45 Combine like terms: 12 + -45 = -33 11v = -33 Divide each side by '11'. v = -3 Simplifying v = -3
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