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Simplifying 343a = -7(1 + a) + 1 343a = (1 * -7 + a * -7) + 1 343a = (-7 + -7a) + 1 Reorder the terms: 343a = -7 + 1 + -7a Combine like terms: -7 + 1 = -6 343a = -6 + -7a Solving 343a = -6 + -7a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '7a' to each side of the equation. 343a + 7a = -6 + -7a + 7a Combine like terms: 343a + 7a = 350a 350a = -6 + -7a + 7a Combine like terms: -7a + 7a = 0 350a = -6 + 0 350a = -6 Divide each side by '350'. a = -0.01714285714 Simplifying a = -0.01714285714
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