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Simplifying 7(3 + -4v) + -4 = 157 (3 * 7 + -4v * 7) + -4 = 157 (21 + -28v) + -4 = 157 Reorder the terms: 21 + -4 + -28v = 157 Combine like terms: 21 + -4 = 17 17 + -28v = 157 Solving 17 + -28v = 157 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-17' to each side of the equation. 17 + -17 + -28v = 157 + -17 Combine like terms: 17 + -17 = 0 0 + -28v = 157 + -17 -28v = 157 + -17 Combine like terms: 157 + -17 = 140 -28v = 140 Divide each side by '-28'. v = -5 Simplifying v = -5
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