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Simplifying 30v + 20 = -2(v + 5) Reorder the terms: 20 + 30v = -2(v + 5) Reorder the terms: 20 + 30v = -2(5 + v) 20 + 30v = (5 * -2 + v * -2) 20 + 30v = (-10 + -2v) Solving 20 + 30v = -10 + -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. 20 + 30v + 2v = -10 + -2v + 2v Combine like terms: 30v + 2v = 32v 20 + 32v = -10 + -2v + 2v Combine like terms: -2v + 2v = 0 20 + 32v = -10 + 0 20 + 32v = -10 Add '-20' to each side of the equation. 20 + -20 + 32v = -10 + -20 Combine like terms: 20 + -20 = 0 0 + 32v = -10 + -20 32v = -10 + -20 Combine like terms: -10 + -20 = -30 32v = -30 Divide each side by '32'. v = -0.9375 Simplifying v = -0.9375
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