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Simplifying 218 = 5a + 8(1 + -5a) 218 = 5a + (1 * 8 + -5a * 8) 218 = 5a + (8 + -40a) Reorder the terms: 218 = 8 + 5a + -40a Combine like terms: 5a + -40a = -35a 218 = 8 + -35a Solving 218 = 8 + -35a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '35a' to each side of the equation. 218 + 35a = 8 + -35a + 35a Combine like terms: -35a + 35a = 0 218 + 35a = 8 + 0 218 + 35a = 8 Add '-218' to each side of the equation. 218 + -218 + 35a = 8 + -218 Combine like terms: 218 + -218 = 0 0 + 35a = 8 + -218 35a = 8 + -218 Combine like terms: 8 + -218 = -210 35a = -210 Divide each side by '35'. a = -6 Simplifying a = -6
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