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Simplifying 3a + -2 = 5(a + 1) + 9a + 5 Reorder the terms: -2 + 3a = 5(a + 1) + 9a + 5 Reorder the terms: -2 + 3a = 5(1 + a) + 9a + 5 -2 + 3a = (1 * 5 + a * 5) + 9a + 5 -2 + 3a = (5 + 5a) + 9a + 5 Reorder the terms: -2 + 3a = 5 + 5 + 5a + 9a Combine like terms: 5 + 5 = 10 -2 + 3a = 10 + 5a + 9a Combine like terms: 5a + 9a = 14a -2 + 3a = 10 + 14a Solving -2 + 3a = 10 + 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. -2 + 3a + -14a = 10 + 14a + -14a Combine like terms: 3a + -14a = -11a -2 + -11a = 10 + 14a + -14a Combine like terms: 14a + -14a = 0 -2 + -11a = 10 + 0 -2 + -11a = 10 Add '2' to each side of the equation. -2 + 2 + -11a = 10 + 2 Combine like terms: -2 + 2 = 0 0 + -11a = 10 + 2 -11a = 10 + 2 Combine like terms: 10 + 2 = 12 -11a = 12 Divide each side by '-11'. a = -1.090909091 Simplifying a = -1.090909091
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