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Simplifying 2a + -4 = 3(a + 1) + 8a + 4 Reorder the terms: -4 + 2a = 3(a + 1) + 8a + 4 Reorder the terms: -4 + 2a = 3(1 + a) + 8a + 4 -4 + 2a = (1 * 3 + a * 3) + 8a + 4 -4 + 2a = (3 + 3a) + 8a + 4 Reorder the terms: -4 + 2a = 3 + 4 + 3a + 8a Combine like terms: 3 + 4 = 7 -4 + 2a = 7 + 3a + 8a Combine like terms: 3a + 8a = 11a -4 + 2a = 7 + 11a Solving -4 + 2a = 7 + 11a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-11a' to each side of the equation. -4 + 2a + -11a = 7 + 11a + -11a Combine like terms: 2a + -11a = -9a -4 + -9a = 7 + 11a + -11a Combine like terms: 11a + -11a = 0 -4 + -9a = 7 + 0 -4 + -9a = 7 Add '4' to each side of the equation. -4 + 4 + -9a = 7 + 4 Combine like terms: -4 + 4 = 0 0 + -9a = 7 + 4 -9a = 7 + 4 Combine like terms: 7 + 4 = 11 -9a = 11 Divide each side by '-9'. a = -1.222222222 Simplifying a = -1.222222222
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