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Simplifying 16 = 3(v + 4) + -5w Reorder the terms: 16 = 3(4 + v) + -5w 16 = (4 * 3 + v * 3) + -5w 16 = (12 + 3v) + -5w Solving 16 = 12 + 3v + -5w Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-3v' to each side of the equation. 16 + -3v = 12 + 3v + -3v + -5w Combine like terms: 3v + -3v = 0 16 + -3v = 12 + 0 + -5w 16 + -3v = 12 + -5w Add '-16' to each side of the equation. 16 + -16 + -3v = 12 + -16 + -5w Combine like terms: 16 + -16 = 0 0 + -3v = 12 + -16 + -5w -3v = 12 + -16 + -5w Combine like terms: 12 + -16 = -4 -3v = -4 + -5w Divide each side by '-3'. v = 1.333333333 + 1.666666667w Simplifying v = 1.333333333 + 1.666666667w
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