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Simplifying 7(v + 6) = 8v + -48 Reorder the terms: 7(6 + v) = 8v + -48 (6 * 7 + v * 7) = 8v + -48 (42 + 7v) = 8v + -48 Reorder the terms: 42 + 7v = -48 + 8v Solving 42 + 7v = -48 + 8v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-8v' to each side of the equation. 42 + 7v + -8v = -48 + 8v + -8v Combine like terms: 7v + -8v = -1v 42 + -1v = -48 + 8v + -8v Combine like terms: 8v + -8v = 0 42 + -1v = -48 + 0 42 + -1v = -48 Add '-42' to each side of the equation. 42 + -42 + -1v = -48 + -42 Combine like terms: 42 + -42 = 0 0 + -1v = -48 + -42 -1v = -48 + -42 Combine like terms: -48 + -42 = -90 -1v = -90 Divide each side by '-1'. v = 90 Simplifying v = 90
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