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Simplifying 5(a + -14) + 2(a + 44) = a + 9 Reorder the terms: 5(-14 + a) + 2(a + 44) = a + 9 (-14 * 5 + a * 5) + 2(a + 44) = a + 9 (-70 + 5a) + 2(a + 44) = a + 9 Reorder the terms: -70 + 5a + 2(44 + a) = a + 9 -70 + 5a + (44 * 2 + a * 2) = a + 9 -70 + 5a + (88 + 2a) = a + 9 Reorder the terms: -70 + 88 + 5a + 2a = a + 9 Combine like terms: -70 + 88 = 18 18 + 5a + 2a = a + 9 Combine like terms: 5a + 2a = 7a 18 + 7a = a + 9 Reorder the terms: 18 + 7a = 9 + a Solving 18 + 7a = 9 + a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-1a' to each side of the equation. 18 + 7a + -1a = 9 + a + -1a Combine like terms: 7a + -1a = 6a 18 + 6a = 9 + a + -1a Combine like terms: a + -1a = 0 18 + 6a = 9 + 0 18 + 6a = 9 Add '-18' to each side of the equation. 18 + -18 + 6a = 9 + -18 Combine like terms: 18 + -18 = 0 0 + 6a = 9 + -18 6a = 9 + -18 Combine like terms: 9 + -18 = -9 6a = -9 Divide each side by '6'. a = -1.5 Simplifying a = -1.5
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