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Simplifying 4(v + 5) + -7v = -7 Reorder the terms: 4(5 + v) + -7v = -7 (5 * 4 + v * 4) + -7v = -7 (20 + 4v) + -7v = -7 Combine like terms: 4v + -7v = -3v 20 + -3v = -7 Solving 20 + -3v = -7 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-20' to each side of the equation. 20 + -20 + -3v = -7 + -20 Combine like terms: 20 + -20 = 0 0 + -3v = -7 + -20 -3v = -7 + -20 Combine like terms: -7 + -20 = -27 -3v = -27 Divide each side by '-3'. v = 9 Simplifying v = 9
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