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Simplifying 7a + -4 = 2a + -24 Reorder the terms: -4 + 7a = 2a + -24 Reorder the terms: -4 + 7a = -24 + 2a Solving -4 + 7a = -24 + 2a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-2a' to each side of the equation. -4 + 7a + -2a = -24 + 2a + -2a Combine like terms: 7a + -2a = 5a -4 + 5a = -24 + 2a + -2a Combine like terms: 2a + -2a = 0 -4 + 5a = -24 + 0 -4 + 5a = -24 Add '4' to each side of the equation. -4 + 4 + 5a = -24 + 4 Combine like terms: -4 + 4 = 0 0 + 5a = -24 + 4 5a = -24 + 4 Combine like terms: -24 + 4 = -20 5a = -20 Divide each side by '5'. a = -4 Simplifying a = -4
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