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Simplifying 24 + 8a = -2(-2 + -5a) + 3 24 + 8a = (-2 * -2 + -5a * -2) + 3 24 + 8a = (4 + 10a) + 3 Reorder the terms: 24 + 8a = 4 + 3 + 10a Combine like terms: 4 + 3 = 7 24 + 8a = 7 + 10a Solving 24 + 8a = 7 + 10a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-10a' to each side of the equation. 24 + 8a + -10a = 7 + 10a + -10a Combine like terms: 8a + -10a = -2a 24 + -2a = 7 + 10a + -10a Combine like terms: 10a + -10a = 0 24 + -2a = 7 + 0 24 + -2a = 7 Add '-24' to each side of the equation. 24 + -24 + -2a = 7 + -24 Combine like terms: 24 + -24 = 0 0 + -2a = 7 + -24 -2a = 7 + -24 Combine like terms: 7 + -24 = -17 -2a = -17 Divide each side by '-2'. a = 8.5 Simplifying a = 8.5
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