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Simplifying 65a + 32 = 10a + 142 Reorder the terms: 32 + 65a = 10a + 142 Reorder the terms: 32 + 65a = 142 + 10a Solving 32 + 65a = 142 + 10a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-10a' to each side of the equation. 32 + 65a + -10a = 142 + 10a + -10a Combine like terms: 65a + -10a = 55a 32 + 55a = 142 + 10a + -10a Combine like terms: 10a + -10a = 0 32 + 55a = 142 + 0 32 + 55a = 142 Add '-32' to each side of the equation. 32 + -32 + 55a = 142 + -32 Combine like terms: 32 + -32 = 0 0 + 55a = 142 + -32 55a = 142 + -32 Combine like terms: 142 + -32 = 110 55a = 110 Divide each side by '55'. a = 2 Simplifying a = 2
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