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Simplifying -8(4v + -6) = 21 + -5v Reorder the terms: -8(-6 + 4v) = 21 + -5v (-6 * -8 + 4v * -8) = 21 + -5v (48 + -32v) = 21 + -5v Solving 48 + -32v = 21 + -5v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '5v' to each side of the equation. 48 + -32v + 5v = 21 + -5v + 5v Combine like terms: -32v + 5v = -27v 48 + -27v = 21 + -5v + 5v Combine like terms: -5v + 5v = 0 48 + -27v = 21 + 0 48 + -27v = 21 Add '-48' to each side of the equation. 48 + -48 + -27v = 21 + -48 Combine like terms: 48 + -48 = 0 0 + -27v = 21 + -48 -27v = 21 + -48 Combine like terms: 21 + -48 = -27 -27v = -27 Divide each side by '-27'. v = 1 Simplifying v = 1
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