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Simplifying 5(v + -6) = 8v + -45 Reorder the terms: 5(-6 + v) = 8v + -45 (-6 * 5 + v * 5) = 8v + -45 (-30 + 5v) = 8v + -45 Reorder the terms: -30 + 5v = -45 + 8v Solving -30 + 5v = -45 + 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. -30 + 5v + -8v = -45 + 8v + -8v Combine like terms: 5v + -8v = -3v -30 + -3v = -45 + 8v + -8v Combine like terms: 8v + -8v = 0 -30 + -3v = -45 + 0 -30 + -3v = -45 Add '30' to each side of the equation. -30 + 30 + -3v = -45 + 30 Combine like terms: -30 + 30 = 0 0 + -3v = -45 + 30 -3v = -45 + 30 Combine like terms: -45 + 30 = -15 -3v = -15 Divide each side by '-3'. v = 5 Simplifying v = 5
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