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Simplifying 7a + -8 = 3a + -24 Reorder the terms: -8 + 7a = 3a + -24 Reorder the terms: -8 + 7a = -24 + 3a Solving -8 + 7a = -24 + 3a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-3a' to each side of the equation. -8 + 7a + -3a = -24 + 3a + -3a Combine like terms: 7a + -3a = 4a -8 + 4a = -24 + 3a + -3a Combine like terms: 3a + -3a = 0 -8 + 4a = -24 + 0 -8 + 4a = -24 Add '8' to each side of the equation. -8 + 8 + 4a = -24 + 8 Combine like terms: -8 + 8 = 0 0 + 4a = -24 + 8 4a = -24 + 8 Combine like terms: -24 + 8 = -16 4a = -16 Divide each side by '4'. a = -4 Simplifying a = -4
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