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Simplifying 4(7 + -1v) + 3(v + 1) = 36 (7 * 4 + -1v * 4) + 3(v + 1) = 36 (28 + -4v) + 3(v + 1) = 36 Reorder the terms: 28 + -4v + 3(1 + v) = 36 28 + -4v + (1 * 3 + v * 3) = 36 28 + -4v + (3 + 3v) = 36 Reorder the terms: 28 + 3 + -4v + 3v = 36 Combine like terms: 28 + 3 = 31 31 + -4v + 3v = 36 Combine like terms: -4v + 3v = -1v 31 + -1v = 36 Solving 31 + -1v = 36 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-31' to each side of the equation. 31 + -31 + -1v = 36 + -31 Combine like terms: 31 + -31 = 0 0 + -1v = 36 + -31 -1v = 36 + -31 Combine like terms: 36 + -31 = 5 -1v = 5 Divide each side by '-1'. v = -5 Simplifying v = -5
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