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Simplifying 17a + 12 = 8a + -24 Reorder the terms: 12 + 17a = 8a + -24 Reorder the terms: 12 + 17a = -24 + 8a Solving 12 + 17a = -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 + 17a + -8a = -24 + 8a + -8a Combine like terms: 17a + -8a = 9a 12 + 9a = -24 + 8a + -8a Combine like terms: 8a + -8a = 0 12 + 9a = -24 + 0 12 + 9a = -24 Add '-12' to each side of the equation. 12 + -12 + 9a = -24 + -12 Combine like terms: 12 + -12 = 0 0 + 9a = -24 + -12 9a = -24 + -12 Combine like terms: -24 + -12 = -36 9a = -36 Divide each side by '9'. a = -4 Simplifying a = -4
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