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Simplifying a + 38 = -7 + 7(3 + -1a) Reorder the terms: 38 + a = -7 + 7(3 + -1a) 38 + a = -7 + (3 * 7 + -1a * 7) 38 + a = -7 + (21 + -7a) Combine like terms: -7 + 21 = 14 38 + a = 14 + -7a Solving 38 + a = 14 + -7a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '7a' to each side of the equation. 38 + a + 7a = 14 + -7a + 7a Combine like terms: a + 7a = 8a 38 + 8a = 14 + -7a + 7a Combine like terms: -7a + 7a = 0 38 + 8a = 14 + 0 38 + 8a = 14 Add '-38' to each side of the equation. 38 + -38 + 8a = 14 + -38 Combine like terms: 38 + -38 = 0 0 + 8a = 14 + -38 8a = 14 + -38 Combine like terms: 14 + -38 = -24 8a = -24 Divide each side by '8'. a = -3 Simplifying a = -3
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