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Simplifying 3a + 10 = 6 + -1a 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 'a' to each side of the equation. 10 + 3a + a = 6 + -1a + a Combine like terms: 3a + a = 4a 10 + 4a = 6 + -1a + a Combine like terms: -1a + a = 0 10 + 4a = 6 + 0 10 + 4a = 6 Add '-10' to each side of the equation. 10 + -10 + 4a = 6 + -10 Combine like terms: 10 + -10 = 0 0 + 4a = 6 + -10 4a = 6 + -10 Combine like terms: 6 + -10 = -4 4a = -4 Divide each side by '4'. a = -1 Simplifying a = -1
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