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Simplifying a + 2(a + 5) = -4(a + 1) Reorder the terms: a + 2(5 + a) = -4(a + 1) a + (5 * 2 + a * 2) = -4(a + 1) a + (10 + 2a) = -4(a + 1) Reorder the terms: 10 + a + 2a = -4(a + 1) Combine like terms: a + 2a = 3a 10 + 3a = -4(a + 1) Reorder the terms: 10 + 3a = -4(1 + a) 10 + 3a = (1 * -4 + a * -4) 10 + 3a = (-4 + -4a) Solving 10 + 3a = -4 + -4a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '4a' to each side of the equation. 10 + 3a + 4a = -4 + -4a + 4a Combine like terms: 3a + 4a = 7a 10 + 7a = -4 + -4a + 4a Combine like terms: -4a + 4a = 0 10 + 7a = -4 + 0 10 + 7a = -4 Add '-10' to each side of the equation. 10 + -10 + 7a = -4 + -10 Combine like terms: 10 + -10 = 0 0 + 7a = -4 + -10 7a = -4 + -10 Combine like terms: -4 + -10 = -14 7a = -14 Divide each side by '7'. a = -2 Simplifying a = -2
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