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Simplifying 38 + -3v = 8(v + 6) + 1 Reorder the terms: 38 + -3v = 8(6 + v) + 1 38 + -3v = (6 * 8 + v * 8) + 1 38 + -3v = (48 + 8v) + 1 Reorder the terms: 38 + -3v = 48 + 1 + 8v Combine like terms: 48 + 1 = 49 38 + -3v = 49 + 8v Solving 38 + -3v = 49 + 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. 38 + -3v + -8v = 49 + 8v + -8v Combine like terms: -3v + -8v = -11v 38 + -11v = 49 + 8v + -8v Combine like terms: 8v + -8v = 0 38 + -11v = 49 + 0 38 + -11v = 49 Add '-38' to each side of the equation. 38 + -38 + -11v = 49 + -38 Combine like terms: 38 + -38 = 0 0 + -11v = 49 + -38 -11v = 49 + -38 Combine like terms: 49 + -38 = 11 -11v = 11 Divide each side by '-11'. v = -1 Simplifying v = -1
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