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Simplifying 5(1 + -6a) + 5a = 5(5a + 1) (1 * 5 + -6a * 5) + 5a = 5(5a + 1) (5 + -30a) + 5a = 5(5a + 1) Combine like terms: -30a + 5a = -25a 5 + -25a = 5(5a + 1) Reorder the terms: 5 + -25a = 5(1 + 5a) 5 + -25a = (1 * 5 + 5a * 5) 5 + -25a = (5 + 25a) Add '-5' to each side of the equation. 5 + -5 + -25a = 5 + -5 + 25a Combine like terms: 5 + -5 = 0 0 + -25a = 5 + -5 + 25a -25a = 5 + -5 + 25a Combine like terms: 5 + -5 = 0 -25a = 0 + 25a -25a = 25a Solving -25a = 25a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-25a' to each side of the equation. -25a + -25a = 25a + -25a Combine like terms: -25a + -25a = -50a -50a = 25a + -25a Combine like terms: 25a + -25a = 0 -50a = 0 Divide each side by '-50'. a = 0.0 Simplifying a = 0.0
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