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Simplifying 7(a + -1) + 2 = -47 Reorder the terms: 7(-1 + a) + 2 = -47 (-1 * 7 + a * 7) + 2 = -47 (-7 + 7a) + 2 = -47 Reorder the terms: -7 + 2 + 7a = -47 Combine like terms: -7 + 2 = -5 -5 + 7a = -47 Solving -5 + 7a = -47 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + 7a = -47 + 5 Combine like terms: -5 + 5 = 0 0 + 7a = -47 + 5 7a = -47 + 5 Combine like terms: -47 + 5 = -42 7a = -42 Divide each side by '7'. a = -6 Simplifying a = -6
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