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Simplifying -8a + -4 + 3a = 24a + 9 + 1 Reorder the terms: -4 + -8a + 3a = 24a + 9 + 1 Combine like terms: -8a + 3a = -5a -4 + -5a = 24a + 9 + 1 Reorder the terms: -4 + -5a = 9 + 1 + 24a Combine like terms: 9 + 1 = 10 -4 + -5a = 10 + 24a Solving -4 + -5a = 10 + 24a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-24a' to each side of the equation. -4 + -5a + -24a = 10 + 24a + -24a Combine like terms: -5a + -24a = -29a -4 + -29a = 10 + 24a + -24a Combine like terms: 24a + -24a = 0 -4 + -29a = 10 + 0 -4 + -29a = 10 Add '4' to each side of the equation. -4 + 4 + -29a = 10 + 4 Combine like terms: -4 + 4 = 0 0 + -29a = 10 + 4 -29a = 10 + 4 Combine like terms: 10 + 4 = 14 -29a = 14 Divide each side by '-29'. a = -0.4827586207 Simplifying a = -0.4827586207
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