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Simplifying 3a + -9 = 2(a + 1) + 12a + 1 Reorder the terms: -9 + 3a = 2(a + 1) + 12a + 1 Reorder the terms: -9 + 3a = 2(1 + a) + 12a + 1 -9 + 3a = (1 * 2 + a * 2) + 12a + 1 -9 + 3a = (2 + 2a) + 12a + 1 Reorder the terms: -9 + 3a = 2 + 1 + 2a + 12a Combine like terms: 2 + 1 = 3 -9 + 3a = 3 + 2a + 12a Combine like terms: 2a + 12a = 14a -9 + 3a = 3 + 14a Solving -9 + 3a = 3 + 14a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-14a' to each side of the equation. -9 + 3a + -14a = 3 + 14a + -14a Combine like terms: 3a + -14a = -11a -9 + -11a = 3 + 14a + -14a Combine like terms: 14a + -14a = 0 -9 + -11a = 3 + 0 -9 + -11a = 3 Add '9' to each side of the equation. -9 + 9 + -11a = 3 + 9 Combine like terms: -9 + 9 = 0 0 + -11a = 3 + 9 -11a = 3 + 9 Combine like terms: 3 + 9 = 12 -11a = 12 Divide each side by '-11'. a = -1.090909091 Simplifying a = -1.090909091
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