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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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