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Simplifying 4a + -2 = 5(a + 1) + 10a + 6 Reorder the terms: -2 + 4a = 5(a + 1) + 10a + 6 Reorder the terms: -2 + 4a = 5(1 + a) + 10a + 6 -2 + 4a = (1 * 5 + a * 5) + 10a + 6 -2 + 4a = (5 + 5a) + 10a + 6 Reorder the terms: -2 + 4a = 5 + 6 + 5a + 10a Combine like terms: 5 + 6 = 11 -2 + 4a = 11 + 5a + 10a Combine like terms: 5a + 10a = 15a -2 + 4a = 11 + 15a Solving -2 + 4a = 11 + 15a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-15a' to each side of the equation. -2 + 4a + -15a = 11 + 15a + -15a Combine like terms: 4a + -15a = -11a -2 + -11a = 11 + 15a + -15a Combine like terms: 15a + -15a = 0 -2 + -11a = 11 + 0 -2 + -11a = 11 Add '2' to each side of the equation. -2 + 2 + -11a = 11 + 2 Combine like terms: -2 + 2 = 0 0 + -11a = 11 + 2 -11a = 11 + 2 Combine like terms: 11 + 2 = 13 -11a = 13 Divide each side by '-11'. a = -1.181818182 Simplifying a = -1.181818182
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