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Simplifying -46 = 2(5 + 4a) -46 = (5 * 2 + 4a * 2) -46 = (10 + 8a) Solving -46 = 10 + 8a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-8a' to each side of the equation. -46 + -8a = 10 + 8a + -8a Combine like terms: 8a + -8a = 0 -46 + -8a = 10 + 0 -46 + -8a = 10 Add '46' to each side of the equation. -46 + 46 + -8a = 10 + 46 Combine like terms: -46 + 46 = 0 0 + -8a = 10 + 46 -8a = 10 + 46 Combine like terms: 10 + 46 = 56 -8a = 56 Divide each side by '-8'. a = -7 Simplifying a = -7
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