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Simplifying 1 + -7(1 + -6a) = -258 1 + (1 * -7 + -6a * -7) = -258 1 + (-7 + 42a) = -258 Combine like terms: 1 + -7 = -6 -6 + 42a = -258 Solving -6 + 42a = -258 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + 42a = -258 + 6 Combine like terms: -6 + 6 = 0 0 + 42a = -258 + 6 42a = -258 + 6 Combine like terms: -258 + 6 = -252 42a = -252 Divide each side by '42'. a = -6 Simplifying a = -6
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