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Simplifying 4(a + 8) + 9 = 12a + -9 Reorder the terms: 4(8 + a) + 9 = 12a + -9 (8 * 4 + a * 4) + 9 = 12a + -9 (32 + 4a) + 9 = 12a + -9 Reorder the terms: 32 + 9 + 4a = 12a + -9 Combine like terms: 32 + 9 = 41 41 + 4a = 12a + -9 Reorder the terms: 41 + 4a = -9 + 12a Solving 41 + 4a = -9 + 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. 41 + 4a + -12a = -9 + 12a + -12a Combine like terms: 4a + -12a = -8a 41 + -8a = -9 + 12a + -12a Combine like terms: 12a + -12a = 0 41 + -8a = -9 + 0 41 + -8a = -9 Add '-41' to each side of the equation. 41 + -41 + -8a = -9 + -41 Combine like terms: 41 + -41 = 0 0 + -8a = -9 + -41 -8a = -9 + -41 Combine like terms: -9 + -41 = -50 -8a = -50 Divide each side by '-8'. a = 6.25 Simplifying a = 6.25
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