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Simplifying 12(a + -5) = 5(a + 8) + 26 Reorder the terms: 12(-5 + a) = 5(a + 8) + 26 (-5 * 12 + a * 12) = 5(a + 8) + 26 (-60 + 12a) = 5(a + 8) + 26 Reorder the terms: -60 + 12a = 5(8 + a) + 26 -60 + 12a = (8 * 5 + a * 5) + 26 -60 + 12a = (40 + 5a) + 26 Reorder the terms: -60 + 12a = 40 + 26 + 5a Combine like terms: 40 + 26 = 66 -60 + 12a = 66 + 5a Solving -60 + 12a = 66 + 5a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-5a' to each side of the equation. -60 + 12a + -5a = 66 + 5a + -5a Combine like terms: 12a + -5a = 7a -60 + 7a = 66 + 5a + -5a Combine like terms: 5a + -5a = 0 -60 + 7a = 66 + 0 -60 + 7a = 66 Add '60' to each side of the equation. -60 + 60 + 7a = 66 + 60 Combine like terms: -60 + 60 = 0 0 + 7a = 66 + 60 7a = 66 + 60 Combine like terms: 66 + 60 = 126 7a = 126 Divide each side by '7'. a = 18 Simplifying a = 18
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