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Simplifying 46 = 11 + -7a Solving 46 = 11 + -7a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '7a' to each side of the equation. 46 + 7a = 11 + -7a + 7a Combine like terms: -7a + 7a = 0 46 + 7a = 11 + 0 46 + 7a = 11 Add '-46' to each side of the equation. 46 + -46 + 7a = 11 + -46 Combine like terms: 46 + -46 = 0 0 + 7a = 11 + -46 7a = 11 + -46 Combine like terms: 11 + -46 = -35 7a = -35 Divide each side by '7'. a = -5 Simplifying a = -5
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