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Simplifying 8v + -38 = -7(v + -1) Reorder the terms: -38 + 8v = -7(v + -1) Reorder the terms: -38 + 8v = -7(-1 + v) -38 + 8v = (-1 * -7 + v * -7) -38 + 8v = (7 + -7v) Solving -38 + 8v = 7 + -7v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '7v' to each side of the equation. -38 + 8v + 7v = 7 + -7v + 7v Combine like terms: 8v + 7v = 15v -38 + 15v = 7 + -7v + 7v Combine like terms: -7v + 7v = 0 -38 + 15v = 7 + 0 -38 + 15v = 7 Add '38' to each side of the equation. -38 + 38 + 15v = 7 + 38 Combine like terms: -38 + 38 = 0 0 + 15v = 7 + 38 15v = 7 + 38 Combine like terms: 7 + 38 = 45 15v = 45 Divide each side by '15'. v = 3 Simplifying v = 3
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