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Simplifying (40 + a) * 2 + (30 + a) * 2 = 156 Reorder the terms for easier multiplication: 2(40 + a) + (30 + a) * 2 = 156 (40 * 2 + a * 2) + (30 + a) * 2 = 156 (80 + 2a) + (30 + a) * 2 = 156 Reorder the terms for easier multiplication: 80 + 2a + 2(30 + a) = 156 80 + 2a + (30 * 2 + a * 2) = 156 80 + 2a + (60 + 2a) = 156 Reorder the terms: 80 + 60 + 2a + 2a = 156 Combine like terms: 80 + 60 = 140 140 + 2a + 2a = 156 Combine like terms: 2a + 2a = 4a 140 + 4a = 156 Solving 140 + 4a = 156 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-140' to each side of the equation. 140 + -140 + 4a = 156 + -140 Combine like terms: 140 + -140 = 0 0 + 4a = 156 + -140 4a = 156 + -140 Combine like terms: 156 + -140 = 16 4a = 16 Divide each side by '4'. a = 4 Simplifying a = 4
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