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Simplifying 16 + v + 32 = -7 * 16 + 17v Reorder the terms: 16 + 32 + v = -7 * 16 + 17v Combine like terms: 16 + 32 = 48 48 + v = -7 * 16 + 17v Multiply -7 * 16 48 + v = -112 + 17v Solving 48 + v = -112 + 17v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-17v' to each side of the equation. 48 + v + -17v = -112 + 17v + -17v Combine like terms: v + -17v = -16v 48 + -16v = -112 + 17v + -17v Combine like terms: 17v + -17v = 0 48 + -16v = -112 + 0 48 + -16v = -112 Add '-48' to each side of the equation. 48 + -48 + -16v = -112 + -48 Combine like terms: 48 + -48 = 0 0 + -16v = -112 + -48 -16v = -112 + -48 Combine like terms: -112 + -48 = -160 -16v = -160 Divide each side by '-16'. v = 10 Simplifying v = 10
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