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Simplifying 20 = 12(8a + -11) + 8(-6a + -5) Reorder the terms: 20 = 12(-11 + 8a) + 8(-6a + -5) 20 = (-11 * 12 + 8a * 12) + 8(-6a + -5) 20 = (-132 + 96a) + 8(-6a + -5) Reorder the terms: 20 = -132 + 96a + 8(-5 + -6a) 20 = -132 + 96a + (-5 * 8 + -6a * 8) 20 = -132 + 96a + (-40 + -48a) Reorder the terms: 20 = -132 + -40 + 96a + -48a Combine like terms: -132 + -40 = -172 20 = -172 + 96a + -48a Combine like terms: 96a + -48a = 48a 20 = -172 + 48a Solving 20 = -172 + 48a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-48a' to each side of the equation. 20 + -48a = -172 + 48a + -48a Combine like terms: 48a + -48a = 0 20 + -48a = -172 + 0 20 + -48a = -172 Add '-20' to each side of the equation. 20 + -20 + -48a = -172 + -20 Combine like terms: 20 + -20 = 0 0 + -48a = -172 + -20 -48a = -172 + -20 Combine like terms: -172 + -20 = -192 -48a = -192 Divide each side by '-48'. a = 4 Simplifying a = 4
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