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Simplifying 5v + -30 = -2(v + 1) Reorder the terms: -30 + 5v = -2(v + 1) Reorder the terms: -30 + 5v = -2(1 + v) -30 + 5v = (1 * -2 + v * -2) -30 + 5v = (-2 + -2v) Solving -30 + 5v = -2 + -2v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '2v' to each side of the equation. -30 + 5v + 2v = -2 + -2v + 2v Combine like terms: 5v + 2v = 7v -30 + 7v = -2 + -2v + 2v Combine like terms: -2v + 2v = 0 -30 + 7v = -2 + 0 -30 + 7v = -2 Add '30' to each side of the equation. -30 + 30 + 7v = -2 + 30 Combine like terms: -30 + 30 = 0 0 + 7v = -2 + 30 7v = -2 + 30 Combine like terms: -2 + 30 = 28 7v = 28 Divide each side by '7'. v = 4 Simplifying v = 4
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