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Simplifying 6a + 10 = 3a + -14 Reorder the terms: 10 + 6a = 3a + -14 Reorder the terms: 10 + 6a = -14 + 3a Solving 10 + 6a = -14 + 3a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-3a' to each side of the equation. 10 + 6a + -3a = -14 + 3a + -3a Combine like terms: 6a + -3a = 3a 10 + 3a = -14 + 3a + -3a Combine like terms: 3a + -3a = 0 10 + 3a = -14 + 0 10 + 3a = -14 Add '-10' to each side of the equation. 10 + -10 + 3a = -14 + -10 Combine like terms: 10 + -10 = 0 0 + 3a = -14 + -10 3a = -14 + -10 Combine like terms: -14 + -10 = -24 3a = -24 Divide each side by '3'. a = -8 Simplifying a = -8
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