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Simplifying 5(a + -12) + 2(a + 15) = a + -9 Reorder the terms: 5(-12 + a) + 2(a + 15) = a + -9 (-12 * 5 + a * 5) + 2(a + 15) = a + -9 (-60 + 5a) + 2(a + 15) = a + -9 Reorder the terms: -60 + 5a + 2(15 + a) = a + -9 -60 + 5a + (15 * 2 + a * 2) = a + -9 -60 + 5a + (30 + 2a) = a + -9 Reorder the terms: -60 + 30 + 5a + 2a = a + -9 Combine like terms: -60 + 30 = -30 -30 + 5a + 2a = a + -9 Combine like terms: 5a + 2a = 7a -30 + 7a = a + -9 Reorder the terms: -30 + 7a = -9 + a Solving -30 + 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. -30 + 7a + -1a = -9 + a + -1a Combine like terms: 7a + -1a = 6a -30 + 6a = -9 + a + -1a Combine like terms: a + -1a = 0 -30 + 6a = -9 + 0 -30 + 6a = -9 Add '30' to each side of the equation. -30 + 30 + 6a = -9 + 30 Combine like terms: -30 + 30 = 0 0 + 6a = -9 + 30 6a = -9 + 30 Combine like terms: -9 + 30 = 21 6a = 21 Divide each side by '6'. a = 3.5 Simplifying a = 3.5
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