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Simplifying -4(2a + 1) = 24 + -4a Reorder the terms: -4(1 + 2a) = 24 + -4a (1 * -4 + 2a * -4) = 24 + -4a (-4 + -8a) = 24 + -4a Solving -4 + -8a = 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. -4 + -8a + 4a = 24 + -4a + 4a Combine like terms: -8a + 4a = -4a -4 + -4a = 24 + -4a + 4a Combine like terms: -4a + 4a = 0 -4 + -4a = 24 + 0 -4 + -4a = 24 Add '4' to each side of the equation. -4 + 4 + -4a = 24 + 4 Combine like terms: -4 + 4 = 0 0 + -4a = 24 + 4 -4a = 24 + 4 Combine like terms: 24 + 4 = 28 -4a = 28 Divide each side by '-4'. a = -7 Simplifying a = -7
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