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Simplifying 5(3a + 1) = 2(2e + -3) Reorder the terms: 5(1 + 3a) = 2(2e + -3) (1 * 5 + 3a * 5) = 2(2e + -3) (5 + 15a) = 2(2e + -3) Reorder the terms: 5 + 15a = 2(-3 + 2e) 5 + 15a = (-3 * 2 + 2e * 2) 5 + 15a = (-6 + 4e) Solving 5 + 15a = -6 + 4e Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + 15a = -6 + -5 + 4e Combine like terms: 5 + -5 = 0 0 + 15a = -6 + -5 + 4e 15a = -6 + -5 + 4e Combine like terms: -6 + -5 = -11 15a = -11 + 4e Divide each side by '15'. a = -0.7333333333 + 0.2666666667e Simplifying a = -0.7333333333 + 0.2666666667e
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