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Simplifying 4(a + 3) + -2 = 42 Reorder the terms: 4(3 + a) + -2 = 42 (3 * 4 + a * 4) + -2 = 42 (12 + 4a) + -2 = 42 Reorder the terms: 12 + -2 + 4a = 42 Combine like terms: 12 + -2 = 10 10 + 4a = 42 Solving 10 + 4a = 42 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 + 4a = 42 + -10 Combine like terms: 10 + -10 = 0 0 + 4a = 42 + -10 4a = 42 + -10 Combine like terms: 42 + -10 = 32 4a = 32 Divide each side by '4'. a = 8 Simplifying a = 8
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