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Simplifying 4(3a + 5) + -10 = 58 Reorder the terms: 4(5 + 3a) + -10 = 58 (5 * 4 + 3a * 4) + -10 = 58 (20 + 12a) + -10 = 58 Reorder the terms: 20 + -10 + 12a = 58 Combine like terms: 20 + -10 = 10 10 + 12a = 58 Solving 10 + 12a = 58 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 + 12a = 58 + -10 Combine like terms: 10 + -10 = 0 0 + 12a = 58 + -10 12a = 58 + -10 Combine like terms: 58 + -10 = 48 12a = 48 Divide each side by '12'. a = 4 Simplifying a = 4
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