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Simplifying 4(2a + 3) = -3(a + 1) + 31 Reorder the terms: 4(3 + 2a) = -3(a + 1) + 31 (3 * 4 + 2a * 4) = -3(a + 1) + 31 (12 + 8a) = -3(a + 1) + 31 Reorder the terms: 12 + 8a = -3(1 + a) + 31 12 + 8a = (1 * -3 + a * -3) + 31 12 + 8a = (-3 + -3a) + 31 Reorder the terms: 12 + 8a = -3 + 31 + -3a Combine like terms: -3 + 31 = 28 12 + 8a = 28 + -3a Solving 12 + 8a = 28 + -3a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '3a' to each side of the equation. 12 + 8a + 3a = 28 + -3a + 3a Combine like terms: 8a + 3a = 11a 12 + 11a = 28 + -3a + 3a Combine like terms: -3a + 3a = 0 12 + 11a = 28 + 0 12 + 11a = 28 Add '-12' to each side of the equation. 12 + -12 + 11a = 28 + -12 Combine like terms: 12 + -12 = 0 0 + 11a = 28 + -12 11a = 28 + -12 Combine like terms: 28 + -12 = 16 11a = 16 Divide each side by '11'. a = 1.454545455 Simplifying a = 1.454545455
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