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Simplifying 2a + 4(-4a + 3) = 24 + -8a Reorder the terms: 2a + 4(3 + -4a) = 24 + -8a 2a + (3 * 4 + -4a * 4) = 24 + -8a 2a + (12 + -16a) = 24 + -8a Reorder the terms: 12 + 2a + -16a = 24 + -8a Combine like terms: 2a + -16a = -14a 12 + -14a = 24 + -8a Solving 12 + -14a = 24 + -8a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '8a' to each side of the equation. 12 + -14a + 8a = 24 + -8a + 8a Combine like terms: -14a + 8a = -6a 12 + -6a = 24 + -8a + 8a Combine like terms: -8a + 8a = 0 12 + -6a = 24 + 0 12 + -6a = 24 Add '-12' to each side of the equation. 12 + -12 + -6a = 24 + -12 Combine like terms: 12 + -12 = 0 0 + -6a = 24 + -12 -6a = 24 + -12 Combine like terms: 24 + -12 = 12 -6a = 12 Divide each side by '-6'. a = -2 Simplifying a = -2
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