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Simplifying 12(8a + -3) = 15a + -7 Reorder the terms: 12(-3 + 8a) = 15a + -7 (-3 * 12 + 8a * 12) = 15a + -7 (-36 + 96a) = 15a + -7 Reorder the terms: -36 + 96a = -7 + 15a Solving -36 + 96a = -7 + 15a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-15a' to each side of the equation. -36 + 96a + -15a = -7 + 15a + -15a Combine like terms: 96a + -15a = 81a -36 + 81a = -7 + 15a + -15a Combine like terms: 15a + -15a = 0 -36 + 81a = -7 + 0 -36 + 81a = -7 Add '36' to each side of the equation. -36 + 36 + 81a = -7 + 36 Combine like terms: -36 + 36 = 0 0 + 81a = -7 + 36 81a = -7 + 36 Combine like terms: -7 + 36 = 29 81a = 29 Divide each side by '81'. a = 0.3580246914 Simplifying a = 0.3580246914
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