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Simplifying 15a + -12 + -1a = 2(5a + 6) Reorder the terms: -12 + 15a + -1a = 2(5a + 6) Combine like terms: 15a + -1a = 14a -12 + 14a = 2(5a + 6) Reorder the terms: -12 + 14a = 2(6 + 5a) -12 + 14a = (6 * 2 + 5a * 2) -12 + 14a = (12 + 10a) Solving -12 + 14a = 12 + 10a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-10a' to each side of the equation. -12 + 14a + -10a = 12 + 10a + -10a Combine like terms: 14a + -10a = 4a -12 + 4a = 12 + 10a + -10a Combine like terms: 10a + -10a = 0 -12 + 4a = 12 + 0 -12 + 4a = 12 Add '12' to each side of the equation. -12 + 12 + 4a = 12 + 12 Combine like terms: -12 + 12 = 0 0 + 4a = 12 + 12 4a = 12 + 12 Combine like terms: 12 + 12 = 24 4a = 24 Divide each side by '4'. a = 6 Simplifying a = 6
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