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Simplifying 3a + 10 = 1a + -6 Reorder the terms: 10 + 3a = 1a + -6 Reorder the terms: 10 + 3a = -6 + 1a Solving 10 + 3a = -6 + 1a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-1a' to each side of the equation. 10 + 3a + -1a = -6 + 1a + -1a Combine like terms: 3a + -1a = 2a 10 + 2a = -6 + 1a + -1a Combine like terms: 1a + -1a = 0 10 + 2a = -6 + 0 10 + 2a = -6 Add '-10' to each side of the equation. 10 + -10 + 2a = -6 + -10 Combine like terms: 10 + -10 = 0 0 + 2a = -6 + -10 2a = -6 + -10 Combine like terms: -6 + -10 = -16 2a = -16 Divide each side by '2'. a = -8 Simplifying a = -8
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