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Simplifying -16 = 3(v + 7) + 2(1 + -8v) Reorder the terms: -16 = 3(7 + v) + 2(1 + -8v) -16 = (7 * 3 + v * 3) + 2(1 + -8v) -16 = (21 + 3v) + 2(1 + -8v) -16 = 21 + 3v + (1 * 2 + -8v * 2) -16 = 21 + 3v + (2 + -16v) Reorder the terms: -16 = 21 + 2 + 3v + -16v Combine like terms: 21 + 2 = 23 -16 = 23 + 3v + -16v Combine like terms: 3v + -16v = -13v -16 = 23 + -13v Solving -16 = 23 + -13v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '13v' to each side of the equation. -16 + 13v = 23 + -13v + 13v Combine like terms: -13v + 13v = 0 -16 + 13v = 23 + 0 -16 + 13v = 23 Add '16' to each side of the equation. -16 + 16 + 13v = 23 + 16 Combine like terms: -16 + 16 = 0 0 + 13v = 23 + 16 13v = 23 + 16 Combine like terms: 23 + 16 = 39 13v = 39 Divide each side by '13'. v = 3 Simplifying v = 3
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