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Simplifying 101 = -11(a + -4) + -20 Reorder the terms: 101 = -11(-4 + a) + -20 101 = (-4 * -11 + a * -11) + -20 101 = (44 + -11a) + -20 Reorder the terms: 101 = 44 + -20 + -11a Combine like terms: 44 + -20 = 24 101 = 24 + -11a Solving 101 = 24 + -11a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '11a' to each side of the equation. 101 + 11a = 24 + -11a + 11a Combine like terms: -11a + 11a = 0 101 + 11a = 24 + 0 101 + 11a = 24 Add '-101' to each side of the equation. 101 + -101 + 11a = 24 + -101 Combine like terms: 101 + -101 = 0 0 + 11a = 24 + -101 11a = 24 + -101 Combine like terms: 24 + -101 = -77 11a = -77 Divide each side by '11'. a = -7 Simplifying a = -7
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