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Simplifying 252 = 7(1 + -7a) 252 = (1 * 7 + -7a * 7) 252 = (7 + -49a) Solving 252 = 7 + -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. 252 + 49a = 7 + -49a + 49a Combine like terms: -49a + 49a = 0 252 + 49a = 7 + 0 252 + 49a = 7 Add '-252' to each side of the equation. 252 + -252 + 49a = 7 + -252 Combine like terms: 252 + -252 = 0 0 + 49a = 7 + -252 49a = 7 + -252 Combine like terms: 7 + -252 = -245 49a = -245 Divide each side by '49'. a = -5 Simplifying a = -5
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