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Simplifying 5(2 + 6a) + -2a = -46 (2 * 5 + 6a * 5) + -2a = -46 (10 + 30a) + -2a = -46 Combine like terms: 30a + -2a = 28a 10 + 28a = -46 Solving 10 + 28a = -46 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 + 28a = -46 + -10 Combine like terms: 10 + -10 = 0 0 + 28a = -46 + -10 28a = -46 + -10 Combine like terms: -46 + -10 = -56 28a = -56 Divide each side by '28'. a = -2 Simplifying a = -2
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