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Simplifying 114 = 3(5a + 8) Reorder the terms: 114 = 3(8 + 5a) 114 = (8 * 3 + 5a * 3) 114 = (24 + 15a) Solving 114 = 24 + 15a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-15a' to each side of the equation. 114 + -15a = 24 + 15a + -15a Combine like terms: 15a + -15a = 0 114 + -15a = 24 + 0 114 + -15a = 24 Add '-114' to each side of the equation. 114 + -114 + -15a = 24 + -114 Combine like terms: 114 + -114 = 0 0 + -15a = 24 + -114 -15a = 24 + -114 Combine like terms: 24 + -114 = -90 -15a = -90 Divide each side by '-15'. a = 6 Simplifying a = 6
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