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Simplifying 5v + -30 = 8(3 + 4v) Reorder the terms: -30 + 5v = 8(3 + 4v) -30 + 5v = (3 * 8 + 4v * 8) -30 + 5v = (24 + 32v) Solving -30 + 5v = 24 + 32v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-32v' to each side of the equation. -30 + 5v + -32v = 24 + 32v + -32v Combine like terms: 5v + -32v = -27v -30 + -27v = 24 + 32v + -32v Combine like terms: 32v + -32v = 0 -30 + -27v = 24 + 0 -30 + -27v = 24 Add '30' to each side of the equation. -30 + 30 + -27v = 24 + 30 Combine like terms: -30 + 30 = 0 0 + -27v = 24 + 30 -27v = 24 + 30 Combine like terms: 24 + 30 = 54 -27v = 54 Divide each side by '-27'. v = -2 Simplifying v = -2
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