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Simplifying 38 = -5(4a + -2) + 6(2 + 3a) Reorder the terms: 38 = -5(-2 + 4a) + 6(2 + 3a) 38 = (-2 * -5 + 4a * -5) + 6(2 + 3a) 38 = (10 + -20a) + 6(2 + 3a) 38 = 10 + -20a + (2 * 6 + 3a * 6) 38 = 10 + -20a + (12 + 18a) Reorder the terms: 38 = 10 + 12 + -20a + 18a Combine like terms: 10 + 12 = 22 38 = 22 + -20a + 18a Combine like terms: -20a + 18a = -2a 38 = 22 + -2a Solving 38 = 22 + -2a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '2a' to each side of the equation. 38 + 2a = 22 + -2a + 2a Combine like terms: -2a + 2a = 0 38 + 2a = 22 + 0 38 + 2a = 22 Add '-38' to each side of the equation. 38 + -38 + 2a = 22 + -38 Combine like terms: 38 + -38 = 0 0 + 2a = 22 + -38 2a = 22 + -38 Combine like terms: 22 + -38 = -16 2a = -16 Divide each side by '2'. a = -8 Simplifying a = -8
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