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Simplifying 40 + 8a = -7(1 + -7A) + 6 40 + 8a = (1 * -7 + -7A * -7) + 6 40 + 8a = (-7 + 49A) + 6 Reorder the terms: 40 + 8a = -7 + 6 + 49A Combine like terms: -7 + 6 = -1 40 + 8a = -1 + 49A Solving 40 + 8a = -1 + 49A Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-40' to each side of the equation. 40 + -40 + 8a = -1 + -40 + 49A Combine like terms: 40 + -40 = 0 0 + 8a = -1 + -40 + 49A 8a = -1 + -40 + 49A Combine like terms: -1 + -40 = -41 8a = -41 + 49A Divide each side by '8'. a = -5.125 + 6.125A Simplifying a = -5.125 + 6.125A
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