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Simplifying -11(a + 4) = 4(a + 11) + 7a Reorder the terms: -11(4 + a) = 4(a + 11) + 7a (4 * -11 + a * -11) = 4(a + 11) + 7a (-44 + -11a) = 4(a + 11) + 7a Reorder the terms: -44 + -11a = 4(11 + a) + 7a -44 + -11a = (11 * 4 + a * 4) + 7a -44 + -11a = (44 + 4a) + 7a Combine like terms: 4a + 7a = 11a -44 + -11a = 44 + 11a Solving -44 + -11a = 44 + 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. -44 + -11a + -11a = 44 + 11a + -11a Combine like terms: -11a + -11a = -22a -44 + -22a = 44 + 11a + -11a Combine like terms: 11a + -11a = 0 -44 + -22a = 44 + 0 -44 + -22a = 44 Add '44' to each side of the equation. -44 + 44 + -22a = 44 + 44 Combine like terms: -44 + 44 = 0 0 + -22a = 44 + 44 -22a = 44 + 44 Combine like terms: 44 + 44 = 88 -22a = 88 Divide each side by '-22'. a = -4 Simplifying a = -4
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