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Simplifying 9a + 42 = 7a + 10 Reorder the terms: 42 + 9a = 7a + 10 Reorder the terms: 42 + 9a = 10 + 7a Solving 42 + 9a = 10 + 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. 42 + 9a + -7a = 10 + 7a + -7a Combine like terms: 9a + -7a = 2a 42 + 2a = 10 + 7a + -7a Combine like terms: 7a + -7a = 0 42 + 2a = 10 + 0 42 + 2a = 10 Add '-42' to each side of the equation. 42 + -42 + 2a = 10 + -42 Combine like terms: 42 + -42 = 0 0 + 2a = 10 + -42 2a = 10 + -42 Combine like terms: 10 + -42 = -32 2a = -32 Divide each side by '2'. a = -16 Simplifying a = -16
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