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Simplifying 53a + -77 = 46a Reorder the terms: -77 + 53a = 46a Solving -77 + 53a = 46a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-46a' to each side of the equation. -77 + 53a + -46a = 46a + -46a Combine like terms: 53a + -46a = 7a -77 + 7a = 46a + -46a Combine like terms: 46a + -46a = 0 -77 + 7a = 0 Add '77' to each side of the equation. -77 + 77 + 7a = 0 + 77 Combine like terms: -77 + 77 = 0 0 + 7a = 0 + 77 7a = 0 + 77 Combine like terms: 0 + 77 = 77 7a = 77 Divide each side by '7'. a = 11 Simplifying a = 11
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