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Simplifying 11(a + -7) = -4 + -7 Reorder the terms: 11(-7 + a) = -4 + -7 (-7 * 11 + a * 11) = -4 + -7 (-77 + 11a) = -4 + -7 Combine like terms: -4 + -7 = -11 -77 + 11a = -11 Solving -77 + 11a = -11 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '77' to each side of the equation. -77 + 77 + 11a = -11 + 77 Combine like terms: -77 + 77 = 0 0 + 11a = -11 + 77 11a = -11 + 77 Combine like terms: -11 + 77 = 66 11a = 66 Divide each side by '11'. a = 6 Simplifying a = 6
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