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Simplifying 5(a + 2) + -3a = 22 Reorder the terms: 5(2 + a) + -3a = 22 (2 * 5 + a * 5) + -3a = 22 (10 + 5a) + -3a = 22 Combine like terms: 5a + -3a = 2a 10 + 2a = 22 Solving 10 + 2a = 22 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + 2a = 22 + -10 Combine like terms: 10 + -10 = 0 0 + 2a = 22 + -10 2a = 22 + -10 Combine like terms: 22 + -10 = 12 2a = 12 Divide each side by '2'. a = 6 Simplifying a = 6
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