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Simplifying -15 = -5v + 8(v + -3) Reorder the terms: -15 = -5v + 8(-3 + v) -15 = -5v + (-3 * 8 + v * 8) -15 = -5v + (-24 + 8v) Reorder the terms: -15 = -24 + -5v + 8v Combine like terms: -5v + 8v = 3v -15 = -24 + 3v Solving -15 = -24 + 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. -15 + -3v = -24 + 3v + -3v Combine like terms: 3v + -3v = 0 -15 + -3v = -24 + 0 -15 + -3v = -24 Add '15' to each side of the equation. -15 + 15 + -3v = -24 + 15 Combine like terms: -15 + 15 = 0 0 + -3v = -24 + 15 -3v = -24 + 15 Combine like terms: -24 + 15 = -9 -3v = -9 Divide each side by '-3'. v = 3 Simplifying v = 3
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