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Simplifying -10(3v + -30) = 16v + 6w Reorder the terms: -10(-30 + 3v) = 16v + 6w (-30 * -10 + 3v * -10) = 16v + 6w (300 + -30v) = 16v + 6w Solving 300 + -30v = 16v + 6w 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 = 16v + -16v + 6w Combine like terms: -30v + -16v = -46v 300 + -46v = 16v + -16v + 6w Combine like terms: 16v + -16v = 0 300 + -46v = 0 + 6w 300 + -46v = 6w Add '-300' to each side of the equation. 300 + -300 + -46v = -300 + 6w Combine like terms: 300 + -300 = 0 0 + -46v = -300 + 6w -46v = -300 + 6w Divide each side by '-46'. v = 6.52173913 + -0.1304347826w Simplifying v = 6.52173913 + -0.1304347826w
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