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Simplifying 9(a + -4) + 2(a + -20) = a + -11 Reorder the terms: 9(-4 + a) + 2(a + -20) = a + -11 (-4 * 9 + a * 9) + 2(a + -20) = a + -11 (-36 + 9a) + 2(a + -20) = a + -11 Reorder the terms: -36 + 9a + 2(-20 + a) = a + -11 -36 + 9a + (-20 * 2 + a * 2) = a + -11 -36 + 9a + (-40 + 2a) = a + -11 Reorder the terms: -36 + -40 + 9a + 2a = a + -11 Combine like terms: -36 + -40 = -76 -76 + 9a + 2a = a + -11 Combine like terms: 9a + 2a = 11a -76 + 11a = a + -11 Reorder the terms: -76 + 11a = -11 + a Solving -76 + 11a = -11 + a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-1a' to each side of the equation. -76 + 11a + -1a = -11 + a + -1a Combine like terms: 11a + -1a = 10a -76 + 10a = -11 + a + -1a Combine like terms: a + -1a = 0 -76 + 10a = -11 + 0 -76 + 10a = -11 Add '76' to each side of the equation. -76 + 76 + 10a = -11 + 76 Combine like terms: -76 + 76 = 0 0 + 10a = -11 + 76 10a = -11 + 76 Combine like terms: -11 + 76 = 65 10a = 65 Divide each side by '10'. a = 6.5 Simplifying a = 6.5
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