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Simplifying 16 = 4(5v + 7) + -6(-5v + 2) Reorder the terms: 16 = 4(7 + 5v) + -6(-5v + 2) 16 = (7 * 4 + 5v * 4) + -6(-5v + 2) 16 = (28 + 20v) + -6(-5v + 2) Reorder the terms: 16 = 28 + 20v + -6(2 + -5v) 16 = 28 + 20v + (2 * -6 + -5v * -6) 16 = 28 + 20v + (-12 + 30v) Reorder the terms: 16 = 28 + -12 + 20v + 30v Combine like terms: 28 + -12 = 16 16 = 16 + 20v + 30v Combine like terms: 20v + 30v = 50v 16 = 16 + 50v Add '-16' to each side of the equation. 16 + -16 = 16 + -16 + 50v Combine like terms: 16 + -16 = 0 0 = 16 + -16 + 50v Combine like terms: 16 + -16 = 0 0 = 0 + 50v 0 = 50v Solving 0 = 50v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-50v' to each side of the equation. 0 + -50v = 50v + -50v Remove the zero: -50v = 50v + -50v Combine like terms: 50v + -50v = 0 -50v = 0 Divide each side by '-50'. v = 0 Simplifying v = 0
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