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Simplifying 7(5 + -8v) + 12 = -54 (5 * 7 + -8v * 7) + 12 = -54 (35 + -56v) + 12 = -54 Reorder the terms: 35 + 12 + -56v = -54 Combine like terms: 35 + 12 = 47 47 + -56v = -54 Solving 47 + -56v = -54 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-47' to each side of the equation. 47 + -47 + -56v = -54 + -47 Combine like terms: 47 + -47 = 0 0 + -56v = -54 + -47 -56v = -54 + -47 Combine like terms: -54 + -47 = -101 -56v = -101 Divide each side by '-56'. v = 1.803571429 Simplifying v = 1.803571429
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