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Simplifying 11(a + -4) = 2(-2a + 23) Reorder the terms: 11(-4 + a) = 2(-2a + 23) (-4 * 11 + a * 11) = 2(-2a + 23) (-44 + 11a) = 2(-2a + 23) Reorder the terms: -44 + 11a = 2(23 + -2a) -44 + 11a = (23 * 2 + -2a * 2) -44 + 11a = (46 + -4a) Solving -44 + 11a = 46 + -4a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '4a' to each side of the equation. -44 + 11a + 4a = 46 + -4a + 4a Combine like terms: 11a + 4a = 15a -44 + 15a = 46 + -4a + 4a Combine like terms: -4a + 4a = 0 -44 + 15a = 46 + 0 -44 + 15a = 46 Add '44' to each side of the equation. -44 + 44 + 15a = 46 + 44 Combine like terms: -44 + 44 = 0 0 + 15a = 46 + 44 15a = 46 + 44 Combine like terms: 46 + 44 = 90 15a = 90 Divide each side by '15'. a = 6 Simplifying a = 6
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