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Simplifying 7v + -38 = -8(v + 1) Reorder the terms: -38 + 7v = -8(v + 1) Reorder the terms: -38 + 7v = -8(1 + v) -38 + 7v = (1 * -8 + v * -8) -38 + 7v = (-8 + -8v) Solving -38 + 7v = -8 + -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 + 7v + 8v = -8 + -8v + 8v Combine like terms: 7v + 8v = 15v -38 + 15v = -8 + -8v + 8v Combine like terms: -8v + 8v = 0 -38 + 15v = -8 + 0 -38 + 15v = -8 Add '38' to each side of the equation. -38 + 38 + 15v = -8 + 38 Combine like terms: -38 + 38 = 0 0 + 15v = -8 + 38 15v = -8 + 38 Combine like terms: -8 + 38 = 30 15v = 30 Divide each side by '15'. v = 2 Simplifying v = 2
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