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Simplifying 6a + 10 = 9a + -6 Reorder the terms: 10 + 6a = 9a + -6 Reorder the terms: 10 + 6a = -6 + 9a Solving 10 + 6a = -6 + 9a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-9a' to each side of the equation. 10 + 6a + -9a = -6 + 9a + -9a Combine like terms: 6a + -9a = -3a 10 + -3a = -6 + 9a + -9a Combine like terms: 9a + -9a = 0 10 + -3a = -6 + 0 10 + -3a = -6 Add '-10' to each side of the equation. 10 + -10 + -3a = -6 + -10 Combine like terms: 10 + -10 = 0 0 + -3a = -6 + -10 -3a = -6 + -10 Combine like terms: -6 + -10 = -16 -3a = -16 Divide each side by '-3'. a = 5.333333333 Simplifying a = 5.333333333
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