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Simplifying 24a + 16b + 8 = 4(3a + 1 + 2b) Reorder the terms: 8 + 24a + 16b = 4(3a + 1 + 2b) Reorder the terms: 8 + 24a + 16b = 4(1 + 3a + 2b) 8 + 24a + 16b = (1 * 4 + 3a * 4 + 2b * 4) 8 + 24a + 16b = (4 + 12a + 8b) Solving 8 + 24a + 16b = 4 + 12a + 8b 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. 8 + 24a + -12a + 16b = 4 + 12a + -12a + 8b Combine like terms: 24a + -12a = 12a 8 + 12a + 16b = 4 + 12a + -12a + 8b Combine like terms: 12a + -12a = 0 8 + 12a + 16b = 4 + 0 + 8b 8 + 12a + 16b = 4 + 8b Add '-8' to each side of the equation. 8 + 12a + -8 + 16b = 4 + -8 + 8b Reorder the terms: 8 + -8 + 12a + 16b = 4 + -8 + 8b Combine like terms: 8 + -8 = 0 0 + 12a + 16b = 4 + -8 + 8b 12a + 16b = 4 + -8 + 8b Combine like terms: 4 + -8 = -4 12a + 16b = -4 + 8b Add '-16b' to each side of the equation. 12a + 16b + -16b = -4 + 8b + -16b Combine like terms: 16b + -16b = 0 12a + 0 = -4 + 8b + -16b 12a = -4 + 8b + -16b Combine like terms: 8b + -16b = -8b 12a = -4 + -8b Divide each side by '12'. a = -0.3333333333 + -0.6666666667b Simplifying a = -0.3333333333 + -0.6666666667b
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