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Simplifying 6a + 7 = 55 + -2a Reorder the terms: 7 + 6a = 55 + -2a Solving 7 + 6a = 55 + -2a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '2a' to each side of the equation. 7 + 6a + 2a = 55 + -2a + 2a Combine like terms: 6a + 2a = 8a 7 + 8a = 55 + -2a + 2a Combine like terms: -2a + 2a = 0 7 + 8a = 55 + 0 7 + 8a = 55 Add '-7' to each side of the equation. 7 + -7 + 8a = 55 + -7 Combine like terms: 7 + -7 = 0 0 + 8a = 55 + -7 8a = 55 + -7 Combine like terms: 55 + -7 = 48 8a = 48 Divide each side by '8'. a = 6 Simplifying a = 6
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