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Simplifying 3a + -5 = 3(a + 1) + 11a + 5 Reorder the terms: -5 + 3a = 3(a + 1) + 11a + 5 Reorder the terms: -5 + 3a = 3(1 + a) + 11a + 5 -5 + 3a = (1 * 3 + a * 3) + 11a + 5 -5 + 3a = (3 + 3a) + 11a + 5 Reorder the terms: -5 + 3a = 3 + 5 + 3a + 11a Combine like terms: 3 + 5 = 8 -5 + 3a = 8 + 3a + 11a Combine like terms: 3a + 11a = 14a -5 + 3a = 8 + 14a Solving -5 + 3a = 8 + 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. -5 + 3a + -14a = 8 + 14a + -14a Combine like terms: 3a + -14a = -11a -5 + -11a = 8 + 14a + -14a Combine like terms: 14a + -14a = 0 -5 + -11a = 8 + 0 -5 + -11a = 8 Add '5' to each side of the equation. -5 + 5 + -11a = 8 + 5 Combine like terms: -5 + 5 = 0 0 + -11a = 8 + 5 -11a = 8 + 5 Combine like terms: 8 + 5 = 13 -11a = 13 Divide each side by '-11'. a = -1.181818182 Simplifying a = -1.181818182
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