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Simplifying 2(a + 5) = 3a + -8 Reorder the terms: 2(5 + a) = 3a + -8 (5 * 2 + a * 2) = 3a + -8 (10 + 2a) = 3a + -8 Reorder the terms: 10 + 2a = -8 + 3a Solving 10 + 2a = -8 + 3a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-3a' to each side of the equation. 10 + 2a + -3a = -8 + 3a + -3a Combine like terms: 2a + -3a = -1a 10 + -1a = -8 + 3a + -3a Combine like terms: 3a + -3a = 0 10 + -1a = -8 + 0 10 + -1a = -8 Add '-10' to each side of the equation. 10 + -10 + -1a = -8 + -10 Combine like terms: 10 + -10 = 0 0 + -1a = -8 + -10 -1a = -8 + -10 Combine like terms: -8 + -10 = -18 -1a = -18 Divide each side by '-1'. a = 18 Simplifying a = 18
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