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Simplifying 6a + 4 + 7a = 53 + 6a Reorder the terms: 4 + 6a + 7a = 53 + 6a Combine like terms: 6a + 7a = 13a 4 + 13a = 53 + 6a Solving 4 + 13a = 53 + 6a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-6a' to each side of the equation. 4 + 13a + -6a = 53 + 6a + -6a Combine like terms: 13a + -6a = 7a 4 + 7a = 53 + 6a + -6a Combine like terms: 6a + -6a = 0 4 + 7a = 53 + 0 4 + 7a = 53 Add '-4' to each side of the equation. 4 + -4 + 7a = 53 + -4 Combine like terms: 4 + -4 = 0 0 + 7a = 53 + -4 7a = 53 + -4 Combine like terms: 53 + -4 = 49 7a = 49 Divide each side by '7'. a = 7 Simplifying a = 7
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