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Simplifying -8(a + -11) = 2a + -3(8a + -6) Reorder the terms: -8(-11 + a) = 2a + -3(8a + -6) (-11 * -8 + a * -8) = 2a + -3(8a + -6) (88 + -8a) = 2a + -3(8a + -6) Reorder the terms: 88 + -8a = 2a + -3(-6 + 8a) 88 + -8a = 2a + (-6 * -3 + 8a * -3) 88 + -8a = 2a + (18 + -24a) Reorder the terms: 88 + -8a = 18 + 2a + -24a Combine like terms: 2a + -24a = -22a 88 + -8a = 18 + -22a Solving 88 + -8a = 18 + -22a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '22a' to each side of the equation. 88 + -8a + 22a = 18 + -22a + 22a Combine like terms: -8a + 22a = 14a 88 + 14a = 18 + -22a + 22a Combine like terms: -22a + 22a = 0 88 + 14a = 18 + 0 88 + 14a = 18 Add '-88' to each side of the equation. 88 + -88 + 14a = 18 + -88 Combine like terms: 88 + -88 = 0 0 + 14a = 18 + -88 14a = 18 + -88 Combine like terms: 18 + -88 = -70 14a = -70 Divide each side by '14'. a = -5 Simplifying a = -5
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