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Simplifying 4(7a + 2) = -24 + -4a Reorder the terms: 4(2 + 7a) = -24 + -4a (2 * 4 + 7a * 4) = -24 + -4a (8 + 28a) = -24 + -4a Solving 8 + 28a = -24 + -4a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '4a' to each side of the equation. 8 + 28a + 4a = -24 + -4a + 4a Combine like terms: 28a + 4a = 32a 8 + 32a = -24 + -4a + 4a Combine like terms: -4a + 4a = 0 8 + 32a = -24 + 0 8 + 32a = -24 Add '-8' to each side of the equation. 8 + -8 + 32a = -24 + -8 Combine like terms: 8 + -8 = 0 0 + 32a = -24 + -8 32a = -24 + -8 Combine like terms: -24 + -8 = -32 32a = -32 Divide each side by '32'. a = -1 Simplifying a = -1
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