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Simplifying -10(3v + -30) = 16v + 64 Reorder the terms: -10(-30 + 3v) = 16v + 64 (-30 * -10 + 3v * -10) = 16v + 64 (300 + -30v) = 16v + 64 Reorder the terms: 300 + -30v = 64 + 16v Solving 300 + -30v = 64 + 16v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-16v' to each side of the equation. 300 + -30v + -16v = 64 + 16v + -16v Combine like terms: -30v + -16v = -46v 300 + -46v = 64 + 16v + -16v Combine like terms: 16v + -16v = 0 300 + -46v = 64 + 0 300 + -46v = 64 Add '-300' to each side of the equation. 300 + -300 + -46v = 64 + -300 Combine like terms: 300 + -300 = 0 0 + -46v = 64 + -300 -46v = 64 + -300 Combine like terms: 64 + -300 = -236 -46v = -236 Divide each side by '-46'. v = 5.130434783 Simplifying v = 5.130434783
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