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Simplifying 7a + 8 = 8a + -24 Reorder the terms: 8 + 7a = 8a + -24 Reorder the terms: 8 + 7a = -24 + 8a Solving 8 + 7a = -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. 8 + 7a + -8a = -24 + 8a + -8a Combine like terms: 7a + -8a = -1a 8 + -1a = -24 + 8a + -8a Combine like terms: 8a + -8a = 0 8 + -1a = -24 + 0 8 + -1a = -24 Add '-8' to each side of the equation. 8 + -8 + -1a = -24 + -8 Combine like terms: 8 + -8 = 0 0 + -1a = -24 + -8 -1a = -24 + -8 Combine like terms: -24 + -8 = -32 -1a = -32 Divide each side by '-1'. a = 32 Simplifying a = 32
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