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Simplifying 8a + 10 = 7a + 1 Reorder the terms: 10 + 8a = 7a + 1 Reorder the terms: 10 + 8a = 1 + 7a Solving 10 + 8a = 1 + 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. 10 + 8a + -7a = 1 + 7a + -7a Combine like terms: 8a + -7a = 1a 10 + 1a = 1 + 7a + -7a Combine like terms: 7a + -7a = 0 10 + 1a = 1 + 0 10 + 1a = 1 Add '-10' to each side of the equation. 10 + -10 + 1a = 1 + -10 Combine like terms: 10 + -10 = 0 0 + 1a = 1 + -10 1a = 1 + -10 Combine like terms: 1 + -10 = -9 1a = -9 Divide each side by '1'. a = -9 Simplifying a = -9
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