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Simplifying 8(-5v + 6) + 2v = 200 Reorder the terms: 8(6 + -5v) + 2v = 200 (6 * 8 + -5v * 8) + 2v = 200 (48 + -40v) + 2v = 200 Combine like terms: -40v + 2v = -38v 48 + -38v = 200 Solving 48 + -38v = 200 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-48' to each side of the equation. 48 + -48 + -38v = 200 + -48 Combine like terms: 48 + -48 = 0 0 + -38v = 200 + -48 -38v = 200 + -48 Combine like terms: 200 + -48 = 152 -38v = 152 Divide each side by '-38'. v = -4 Simplifying v = -4
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