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Simplifying 11a + 10 = 14a + -38 Reorder the terms: 10 + 11a = 14a + -38 Reorder the terms: 10 + 11a = -38 + 14a Solving 10 + 11a = -38 + 14a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-14a' to each side of the equation. 10 + 11a + -14a = -38 + 14a + -14a Combine like terms: 11a + -14a = -3a 10 + -3a = -38 + 14a + -14a Combine like terms: 14a + -14a = 0 10 + -3a = -38 + 0 10 + -3a = -38 Add '-10' to each side of the equation. 10 + -10 + -3a = -38 + -10 Combine like terms: 10 + -10 = 0 0 + -3a = -38 + -10 -3a = -38 + -10 Combine like terms: -38 + -10 = -48 -3a = -48 Divide each side by '-3'. a = 16 Simplifying a = 16
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