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Simplifying 203 = 7(1 + -7a) 203 = (1 * 7 + -7a * 7) 203 = (7 + -49a) Solving 203 = 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. 203 + 49a = 7 + -49a + 49a Combine like terms: -49a + 49a = 0 203 + 49a = 7 + 0 203 + 49a = 7 Add '-203' to each side of the equation. 203 + -203 + 49a = 7 + -203 Combine like terms: 203 + -203 = 0 0 + 49a = 7 + -203 49a = 7 + -203 Combine like terms: 7 + -203 = -196 49a = -196 Divide each side by '49'. a = -4 Simplifying a = -4
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