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Simplifying 4a + -9 = 3(a + 1) + 11a + 1 Reorder the terms: -9 + 4a = 3(a + 1) + 11a + 1 Reorder the terms: -9 + 4a = 3(1 + a) + 11a + 1 -9 + 4a = (1 * 3 + a * 3) + 11a + 1 -9 + 4a = (3 + 3a) + 11a + 1 Reorder the terms: -9 + 4a = 3 + 1 + 3a + 11a Combine like terms: 3 + 1 = 4 -9 + 4a = 4 + 3a + 11a Combine like terms: 3a + 11a = 14a -9 + 4a = 4 + 14a Solving -9 + 4a = 4 + 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 + 4a + -14a = 4 + 14a + -14a Combine like terms: 4a + -14a = -10a -9 + -10a = 4 + 14a + -14a Combine like terms: 14a + -14a = 0 -9 + -10a = 4 + 0 -9 + -10a = 4 Add '9' to each side of the equation. -9 + 9 + -10a = 4 + 9 Combine like terms: -9 + 9 = 0 0 + -10a = 4 + 9 -10a = 4 + 9 Combine like terms: 4 + 9 = 13 -10a = 13 Divide each side by '-10'. a = -1.3 Simplifying a = -1.3
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