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Simplifying 5(a + 3) = 8a Reorder the terms: 5(3 + a) = 8a (3 * 5 + a * 5) = 8a (15 + 5a) = 8a Solving 15 + 5a = 8a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-8a' to each side of the equation. 15 + 5a + -8a = 8a + -8a Combine like terms: 5a + -8a = -3a 15 + -3a = 8a + -8a Combine like terms: 8a + -8a = 0 15 + -3a = 0 Add '-15' to each side of the equation. 15 + -15 + -3a = 0 + -15 Combine like terms: 15 + -15 = 0 0 + -3a = 0 + -15 -3a = 0 + -15 Combine like terms: 0 + -15 = -15 -3a = -15 Divide each side by '-3'. a = 5 Simplifying a = 5
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