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Simplifying -17(46a + -29) = 51(9a + -112) Reorder the terms: -17(-29 + 46a) = 51(9a + -112) (-29 * -17 + 46a * -17) = 51(9a + -112) (493 + -782a) = 51(9a + -112) Reorder the terms: 493 + -782a = 51(-112 + 9a) 493 + -782a = (-112 * 51 + 9a * 51) 493 + -782a = (-5712 + 459a) Solving 493 + -782a = -5712 + 459a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-459a' to each side of the equation. 493 + -782a + -459a = -5712 + 459a + -459a Combine like terms: -782a + -459a = -1241a 493 + -1241a = -5712 + 459a + -459a Combine like terms: 459a + -459a = 0 493 + -1241a = -5712 + 0 493 + -1241a = -5712 Add '-493' to each side of the equation. 493 + -493 + -1241a = -5712 + -493 Combine like terms: 493 + -493 = 0 0 + -1241a = -5712 + -493 -1241a = -5712 + -493 Combine like terms: -5712 + -493 = -6205 -1241a = -6205 Divide each side by '-1241'. a = 5 Simplifying a = 5
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