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Simplifying 5v + -45 = 8(v + -6) Reorder the terms: -45 + 5v = 8(v + -6) Reorder the terms: -45 + 5v = 8(-6 + v) -45 + 5v = (-6 * 8 + v * 8) -45 + 5v = (-48 + 8v) Solving -45 + 5v = -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. -45 + 5v + -8v = -48 + 8v + -8v Combine like terms: 5v + -8v = -3v -45 + -3v = -48 + 8v + -8v Combine like terms: 8v + -8v = 0 -45 + -3v = -48 + 0 -45 + -3v = -48 Add '45' to each side of the equation. -45 + 45 + -3v = -48 + 45 Combine like terms: -45 + 45 = 0 0 + -3v = -48 + 45 -3v = -48 + 45 Combine like terms: -48 + 45 = -3 -3v = -3 Divide each side by '-3'. v = 1 Simplifying v = 1
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