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Simplifying 2(2a + -7) + 5(a + 11) = -40 Reorder the terms: 2(-7 + 2a) + 5(a + 11) = -40 (-7 * 2 + 2a * 2) + 5(a + 11) = -40 (-14 + 4a) + 5(a + 11) = -40 Reorder the terms: -14 + 4a + 5(11 + a) = -40 -14 + 4a + (11 * 5 + a * 5) = -40 -14 + 4a + (55 + 5a) = -40 Reorder the terms: -14 + 55 + 4a + 5a = -40 Combine like terms: -14 + 55 = 41 41 + 4a + 5a = -40 Combine like terms: 4a + 5a = 9a 41 + 9a = -40 Solving 41 + 9a = -40 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-41' to each side of the equation. 41 + -41 + 9a = -40 + -41 Combine like terms: 41 + -41 = 0 0 + 9a = -40 + -41 9a = -40 + -41 Combine like terms: -40 + -41 = -81 9a = -81 Divide each side by '9'. a = -9 Simplifying a = -9
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