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Simplifying 5(a + 2) + -2(a + 1) = -4 Reorder the terms: 5(2 + a) + -2(a + 1) = -4 (2 * 5 + a * 5) + -2(a + 1) = -4 (10 + 5a) + -2(a + 1) = -4 Reorder the terms: 10 + 5a + -2(1 + a) = -4 10 + 5a + (1 * -2 + a * -2) = -4 10 + 5a + (-2 + -2a) = -4 Reorder the terms: 10 + -2 + 5a + -2a = -4 Combine like terms: 10 + -2 = 8 8 + 5a + -2a = -4 Combine like terms: 5a + -2a = 3a 8 + 3a = -4 Solving 8 + 3a = -4 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + 3a = -4 + -8 Combine like terms: 8 + -8 = 0 0 + 3a = -4 + -8 3a = -4 + -8 Combine like terms: -4 + -8 = -12 3a = -12 Divide each side by '3'. a = -4 Simplifying a = -4
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