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Simplifying 5 = 5(1 + 10a) + -1a 5 = (1 * 5 + 10a * 5) + -1a 5 = (5 + 50a) + -1a Combine like terms: 50a + -1a = 49a 5 = 5 + 49a Add '-5' to each side of the equation. 5 + -5 = 5 + -5 + 49a Combine like terms: 5 + -5 = 0 0 = 5 + -5 + 49a Combine like terms: 5 + -5 = 0 0 = 0 + 49a 0 = 49a Solving 0 = 49a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-49a' to each side of the equation. 0 + -49a = 49a + -49a Remove the zero: -49a = 49a + -49a Combine like terms: 49a + -49a = 0 -49a = 0 Divide each side by '-49'. a = 0 Simplifying a = 0
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