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Simplifying 6a + 10 = 12a + -9 + 1 Reorder the terms: 10 + 6a = 12a + -9 + 1 Reorder the terms: 10 + 6a = -9 + 1 + 12a Combine like terms: -9 + 1 = -8 10 + 6a = -8 + 12a Solving 10 + 6a = -8 + 12a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-12a' to each side of the equation. 10 + 6a + -12a = -8 + 12a + -12a Combine like terms: 6a + -12a = -6a 10 + -6a = -8 + 12a + -12a Combine like terms: 12a + -12a = 0 10 + -6a = -8 + 0 10 + -6a = -8 Add '-10' to each side of the equation. 10 + -10 + -6a = -8 + -10 Combine like terms: 10 + -10 = 0 0 + -6a = -8 + -10 -6a = -8 + -10 Combine like terms: -8 + -10 = -18 -6a = -18 Divide each side by '-6'. a = 3 Simplifying a = 3
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