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Simplifying 8(v + 7) = -5v + -48 Reorder the terms: 8(7 + v) = -5v + -48 (7 * 8 + v * 8) = -5v + -48 (56 + 8v) = -5v + -48 Reorder the terms: 56 + 8v = -48 + -5v Solving 56 + 8v = -48 + -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. 56 + 8v + 5v = -48 + -5v + 5v Combine like terms: 8v + 5v = 13v 56 + 13v = -48 + -5v + 5v Combine like terms: -5v + 5v = 0 56 + 13v = -48 + 0 56 + 13v = -48 Add '-56' to each side of the equation. 56 + -56 + 13v = -48 + -56 Combine like terms: 56 + -56 = 0 0 + 13v = -48 + -56 13v = -48 + -56 Combine like terms: -48 + -56 = -104 13v = -104 Divide each side by '13'. v = -8 Simplifying v = -8
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