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Simplifying 4(2a + 3) = (a + -1) + 31 Reorder the terms: 4(3 + 2a) = (a + -1) + 31 (3 * 4 + 2a * 4) = (a + -1) + 31 (12 + 8a) = (a + -1) + 31 Reorder the terms: 12 + 8a = (-1 + a) + 31 Remove parenthesis around (-1 + a) 12 + 8a = -1 + a + 31 Reorder the terms: 12 + 8a = -1 + 31 + a Combine like terms: -1 + 31 = 30 12 + 8a = 30 + a Solving 12 + 8a = 30 + a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-1a' to each side of the equation. 12 + 8a + -1a = 30 + a + -1a Combine like terms: 8a + -1a = 7a 12 + 7a = 30 + a + -1a Combine like terms: a + -1a = 0 12 + 7a = 30 + 0 12 + 7a = 30 Add '-12' to each side of the equation. 12 + -12 + 7a = 30 + -12 Combine like terms: 12 + -12 = 0 0 + 7a = 30 + -12 7a = 30 + -12 Combine like terms: 30 + -12 = 18 7a = 18 Divide each side by '7'. a = 2.571428571 Simplifying a = 2.571428571
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