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Simplifying 5(a + -12) + (2a + 15) = a + -9 Reorder the terms: 5(-12 + a) + (2a + 15) = a + -9 (-12 * 5 + a * 5) + (2a + 15) = a + -9 (-60 + 5a) + (2a + 15) = a + -9 Reorder the terms: -60 + 5a + (15 + 2a) = a + -9 Remove parenthesis around (15 + 2a) -60 + 5a + 15 + 2a = a + -9 Reorder the terms: -60 + 15 + 5a + 2a = a + -9 Combine like terms: -60 + 15 = -45 -45 + 5a + 2a = a + -9 Combine like terms: 5a + 2a = 7a -45 + 7a = a + -9 Reorder the terms: -45 + 7a = -9 + a Solving -45 + 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. -45 + 7a + -1a = -9 + a + -1a Combine like terms: 7a + -1a = 6a -45 + 6a = -9 + a + -1a Combine like terms: a + -1a = 0 -45 + 6a = -9 + 0 -45 + 6a = -9 Add '45' to each side of the equation. -45 + 45 + 6a = -9 + 45 Combine like terms: -45 + 45 = 0 0 + 6a = -9 + 45 6a = -9 + 45 Combine like terms: -9 + 45 = 36 6a = 36 Divide each side by '6'. a = 6 Simplifying a = 6
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