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Simplifying (14a + -16) + -1(9 + 7a) = -2a Reorder the terms: (-16 + 14a) + -1(9 + 7a) = -2a Remove parenthesis around (-16 + 14a) -16 + 14a + -1(9 + 7a) = -2a -16 + 14a + (9 * -1 + 7a * -1) = -2a -16 + 14a + (-9 + -7a) = -2a Reorder the terms: -16 + -9 + 14a + -7a = -2a Combine like terms: -16 + -9 = -25 -25 + 14a + -7a = -2a Combine like terms: 14a + -7a = 7a -25 + 7a = -2a Solving -25 + 7a = -2a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '2a' to each side of the equation. -25 + 7a + 2a = -2a + 2a Combine like terms: 7a + 2a = 9a -25 + 9a = -2a + 2a Combine like terms: -2a + 2a = 0 -25 + 9a = 0 Add '25' to each side of the equation. -25 + 25 + 9a = 0 + 25 Combine like terms: -25 + 25 = 0 0 + 9a = 0 + 25 9a = 0 + 25 Combine like terms: 0 + 25 = 25 9a = 25 Divide each side by '9'. a = 2.777777778 Simplifying a = 2.777777778
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