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Simplifying 23(6 + -2a) = 5(-3a + 1) (6 * 23 + -2a * 23) = 5(-3a + 1) (138 + -46a) = 5(-3a + 1) Reorder the terms: 138 + -46a = 5(1 + -3a) 138 + -46a = (1 * 5 + -3a * 5) 138 + -46a = (5 + -15a) Solving 138 + -46a = 5 + -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. 138 + -46a + 15a = 5 + -15a + 15a Combine like terms: -46a + 15a = -31a 138 + -31a = 5 + -15a + 15a Combine like terms: -15a + 15a = 0 138 + -31a = 5 + 0 138 + -31a = 5 Add '-138' to each side of the equation. 138 + -138 + -31a = 5 + -138 Combine like terms: 138 + -138 = 0 0 + -31a = 5 + -138 -31a = 5 + -138 Combine like terms: 5 + -138 = -133 -31a = -133 Divide each side by '-31'. a = 4.290322581 Simplifying a = 4.290322581
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