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Simplifying 15a + -24a + 5 = -6a Reorder the terms: 5 + 15a + -24a = -6a Combine like terms: 15a + -24a = -9a 5 + -9a = -6a Solving 5 + -9a = -6a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '6a' to each side of the equation. 5 + -9a + 6a = -6a + 6a Combine like terms: -9a + 6a = -3a 5 + -3a = -6a + 6a Combine like terms: -6a + 6a = 0 5 + -3a = 0 Add '-5' to each side of the equation. 5 + -5 + -3a = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -3a = 0 + -5 -3a = 0 + -5 Combine like terms: 0 + -5 = -5 -3a = -5 Divide each side by '-3'. a = 1.666666667 Simplifying a = 1.666666667
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