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Simplifying 11a + -4(2a + -3) = 18 + 5(a + 2) Reorder the terms: 11a + -4(-3 + 2a) = 18 + 5(a + 2) 11a + (-3 * -4 + 2a * -4) = 18 + 5(a + 2) 11a + (12 + -8a) = 18 + 5(a + 2) Reorder the terms: 12 + 11a + -8a = 18 + 5(a + 2) Combine like terms: 11a + -8a = 3a 12 + 3a = 18 + 5(a + 2) Reorder the terms: 12 + 3a = 18 + 5(2 + a) 12 + 3a = 18 + (2 * 5 + a * 5) 12 + 3a = 18 + (10 + 5a) Combine like terms: 18 + 10 = 28 12 + 3a = 28 + 5a Solving 12 + 3a = 28 + 5a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-5a' to each side of the equation. 12 + 3a + -5a = 28 + 5a + -5a Combine like terms: 3a + -5a = -2a 12 + -2a = 28 + 5a + -5a Combine like terms: 5a + -5a = 0 12 + -2a = 28 + 0 12 + -2a = 28 Add '-12' to each side of the equation. 12 + -12 + -2a = 28 + -12 Combine like terms: 12 + -12 = 0 0 + -2a = 28 + -12 -2a = 28 + -12 Combine like terms: 28 + -12 = 16 -2a = 16 Divide each side by '-2'. a = -8 Simplifying a = -8
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