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Simplifying 5(a + 3) = 21 + -3(1 + -21) Reorder the terms: 5(3 + a) = 21 + -3(1 + -21) (3 * 5 + a * 5) = 21 + -3(1 + -21) (15 + 5a) = 21 + -3(1 + -21) Combine like terms: 1 + -21 = -20 15 + 5a = 21 + -3(-20) Multiply -3 * -20 15 + 5a = 21 + 60 Combine like terms: 21 + 60 = 81 15 + 5a = 81 Solving 15 + 5a = 81 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -15 + 5a = 81 + -15 Combine like terms: 15 + -15 = 0 0 + 5a = 81 + -15 5a = 81 + -15 Combine like terms: 81 + -15 = 66 5a = 66 Divide each side by '5'. a = 13.2 Simplifying a = 13.2
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