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Simplifying 5(1 + -4a) + -7a = -7a + 5 (1 * 5 + -4a * 5) + -7a = -7a + 5 (5 + -20a) + -7a = -7a + 5 Combine like terms: -20a + -7a = -27a 5 + -27a = -7a + 5 Reorder the terms: 5 + -27a = 5 + -7a Add '-5' to each side of the equation. 5 + -5 + -27a = 5 + -5 + -7a Combine like terms: 5 + -5 = 0 0 + -27a = 5 + -5 + -7a -27a = 5 + -5 + -7a Combine like terms: 5 + -5 = 0 -27a = 0 + -7a -27a = -7a Solving -27a = -7a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '7a' to each side of the equation. -27a + 7a = -7a + 7a Combine like terms: -27a + 7a = -20a -20a = -7a + 7a Combine like terms: -7a + 7a = 0 -20a = 0 Divide each side by '-20'. a = 0.0 Simplifying a = 0.0
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