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Simplifying 4(v + 8) + -7v = 2 Reorder the terms: 4(8 + v) + -7v = 2 (8 * 4 + v * 4) + -7v = 2 (32 + 4v) + -7v = 2 Combine like terms: 4v + -7v = -3v 32 + -3v = 2 Solving 32 + -3v = 2 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-32' to each side of the equation. 32 + -32 + -3v = 2 + -32 Combine like terms: 32 + -32 = 0 0 + -3v = 2 + -32 -3v = 2 + -32 Combine like terms: 2 + -32 = -30 -3v = -30 Divide each side by '-3'. v = 10 Simplifying v = 10
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