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Simplifying 6a + 9 = 10a + 1 Reorder the terms: 9 + 6a = 10a + 1 Reorder the terms: 9 + 6a = 1 + 10a Solving 9 + 6a = 1 + 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. 9 + 6a + -10a = 1 + 10a + -10a Combine like terms: 6a + -10a = -4a 9 + -4a = 1 + 10a + -10a Combine like terms: 10a + -10a = 0 9 + -4a = 1 + 0 9 + -4a = 1 Add '-9' to each side of the equation. 9 + -9 + -4a = 1 + -9 Combine like terms: 9 + -9 = 0 0 + -4a = 1 + -9 -4a = 1 + -9 Combine like terms: 1 + -9 = -8 -4a = -8 Divide each side by '-4'. a = 2 Simplifying a = 2
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