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Simplifying 21(5 + -8v) + 12 = 54 (5 * 21 + -8v * 21) + 12 = 54 (105 + -168v) + 12 = 54 Reorder the terms: 105 + 12 + -168v = 54 Combine like terms: 105 + 12 = 117 117 + -168v = 54 Solving 117 + -168v = 54 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-117' to each side of the equation. 117 + -117 + -168v = 54 + -117 Combine like terms: 117 + -117 = 0 0 + -168v = 54 + -117 -168v = 54 + -117 Combine like terms: 54 + -117 = -63 -168v = -63 Divide each side by '-168'. v = 0.375 Simplifying v = 0.375
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