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Simplifying 5v + -6 = 8(v + -3) Reorder the terms: -6 + 5v = 8(v + -3) Reorder the terms: -6 + 5v = 8(-3 + v) -6 + 5v = (-3 * 8 + v * 8) -6 + 5v = (-24 + 8v) Solving -6 + 5v = -24 + 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. -6 + 5v + -8v = -24 + 8v + -8v Combine like terms: 5v + -8v = -3v -6 + -3v = -24 + 8v + -8v Combine like terms: 8v + -8v = 0 -6 + -3v = -24 + 0 -6 + -3v = -24 Add '6' to each side of the equation. -6 + 6 + -3v = -24 + 6 Combine like terms: -6 + 6 = 0 0 + -3v = -24 + 6 -3v = -24 + 6 Combine like terms: -24 + 6 = -18 -3v = -18 Divide each side by '-3'. v = 6 Simplifying v = 6
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