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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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