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Simplifying 29 + -5 = 4(3a + 1) + -2 Combine like terms: 29 + -5 = 24 24 = 4(3a + 1) + -2 Reorder the terms: 24 = 4(1 + 3a) + -2 24 = (1 * 4 + 3a * 4) + -2 24 = (4 + 12a) + -2 Reorder the terms: 24 = 4 + -2 + 12a Combine like terms: 4 + -2 = 2 24 = 2 + 12a Solving 24 = 2 + 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. 24 + -12a = 2 + 12a + -12a Combine like terms: 12a + -12a = 0 24 + -12a = 2 + 0 24 + -12a = 2 Add '-24' to each side of the equation. 24 + -24 + -12a = 2 + -24 Combine like terms: 24 + -24 = 0 0 + -12a = 2 + -24 -12a = 2 + -24 Combine like terms: 2 + -24 = -22 -12a = -22 Divide each side by '-12'. a = 1.833333333 Simplifying a = 1.833333333
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