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Simplifying 7(1 + -1a) + -4(5a + 8) = -52 (1 * 7 + -1a * 7) + -4(5a + 8) = -52 (7 + -7a) + -4(5a + 8) = -52 Reorder the terms: 7 + -7a + -4(8 + 5a) = -52 7 + -7a + (8 * -4 + 5a * -4) = -52 7 + -7a + (-32 + -20a) = -52 Reorder the terms: 7 + -32 + -7a + -20a = -52 Combine like terms: 7 + -32 = -25 -25 + -7a + -20a = -52 Combine like terms: -7a + -20a = -27a -25 + -27a = -52 Solving -25 + -27a = -52 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '25' to each side of the equation. -25 + 25 + -27a = -52 + 25 Combine like terms: -25 + 25 = 0 0 + -27a = -52 + 25 -27a = -52 + 25 Combine like terms: -52 + 25 = -27 -27a = -27 Divide each side by '-27'. a = 1 Simplifying a = 1
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