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Simplifying 6(a + 2) + -8a = 10a + 9 Reorder the terms: 6(2 + a) + -8a = 10a + 9 (2 * 6 + a * 6) + -8a = 10a + 9 (12 + 6a) + -8a = 10a + 9 Combine like terms: 6a + -8a = -2a 12 + -2a = 10a + 9 Reorder the terms: 12 + -2a = 9 + 10a Solving 12 + -2a = 9 + 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. 12 + -2a + -10a = 9 + 10a + -10a Combine like terms: -2a + -10a = -12a 12 + -12a = 9 + 10a + -10a Combine like terms: 10a + -10a = 0 12 + -12a = 9 + 0 12 + -12a = 9 Add '-12' to each side of the equation. 12 + -12 + -12a = 9 + -12 Combine like terms: 12 + -12 = 0 0 + -12a = 9 + -12 -12a = 9 + -12 Combine like terms: 9 + -12 = -3 -12a = -3 Divide each side by '-12'. a = 0.25 Simplifying a = 0.25
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