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Simplifying 38 + -6a = 2 + -2(7a + 6) Reorder the terms: 38 + -6a = 2 + -2(6 + 7a) 38 + -6a = 2 + (6 * -2 + 7a * -2) 38 + -6a = 2 + (-12 + -14a) Combine like terms: 2 + -12 = -10 38 + -6a = -10 + -14a Solving 38 + -6a = -10 + -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. 38 + -6a + 14a = -10 + -14a + 14a Combine like terms: -6a + 14a = 8a 38 + 8a = -10 + -14a + 14a Combine like terms: -14a + 14a = 0 38 + 8a = -10 + 0 38 + 8a = -10 Add '-38' to each side of the equation. 38 + -38 + 8a = -10 + -38 Combine like terms: 38 + -38 = 0 0 + 8a = -10 + -38 8a = -10 + -38 Combine like terms: -10 + -38 = -48 8a = -48 Divide each side by '8'. a = -6 Simplifying a = -6
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