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Simplifying 4(-8a + 2) = -28 + 4a Reorder the terms: 4(2 + -8a) = -28 + 4a (2 * 4 + -8a * 4) = -28 + 4a (8 + -32a) = -28 + 4a Solving 8 + -32a = -28 + 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 + -32a + -4a = -28 + 4a + -4a Combine like terms: -32a + -4a = -36a 8 + -36a = -28 + 4a + -4a Combine like terms: 4a + -4a = 0 8 + -36a = -28 + 0 8 + -36a = -28 Add '-8' to each side of the equation. 8 + -8 + -36a = -28 + -8 Combine like terms: 8 + -8 = 0 0 + -36a = -28 + -8 -36a = -28 + -8 Combine like terms: -28 + -8 = -36 -36a = -36 Divide each side by '-36'. a = 1 Simplifying a = 1
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