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Simplifying 4(-7a + 2) = -4(8 + 7a) + a Reorder the terms: 4(2 + -7a) = -4(8 + 7a) + a (2 * 4 + -7a * 4) = -4(8 + 7a) + a (8 + -28a) = -4(8 + 7a) + a 8 + -28a = (8 * -4 + 7a * -4) + a 8 + -28a = (-32 + -28a) + a Combine like terms: -28a + a = -27a 8 + -28a = -32 + -27a Solving 8 + -28a = -32 + -27a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '27a' to each side of the equation. 8 + -28a + 27a = -32 + -27a + 27a Combine like terms: -28a + 27a = -1a 8 + -1a = -32 + -27a + 27a Combine like terms: -27a + 27a = 0 8 + -1a = -32 + 0 8 + -1a = -32 Add '-8' to each side of the equation. 8 + -8 + -1a = -32 + -8 Combine like terms: 8 + -8 = 0 0 + -1a = -32 + -8 -1a = -32 + -8 Combine like terms: -32 + -8 = -40 -1a = -40 Divide each side by '-1'. a = 40 Simplifying a = 40
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