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Simplifying 2(8a + 5) = -4a + -30 Reorder the terms: 2(5 + 8a) = -4a + -30 (5 * 2 + 8a * 2) = -4a + -30 (10 + 16a) = -4a + -30 Reorder the terms: 10 + 16a = -30 + -4a Solving 10 + 16a = -30 + -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 + 16a + 4a = -30 + -4a + 4a Combine like terms: 16a + 4a = 20a 10 + 20a = -30 + -4a + 4a Combine like terms: -4a + 4a = 0 10 + 20a = -30 + 0 10 + 20a = -30 Add '-10' to each side of the equation. 10 + -10 + 20a = -30 + -10 Combine like terms: 10 + -10 = 0 0 + 20a = -30 + -10 20a = -30 + -10 Combine like terms: -30 + -10 = -40 20a = -40 Divide each side by '20'. a = -2 Simplifying a = -2
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