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Simplifying 4a + -2 = 6a + -3a + 6 Reorder the terms: -2 + 4a = 6a + -3a + 6 Reorder the terms: -2 + 4a = 6 + 6a + -3a Combine like terms: 6a + -3a = 3a -2 + 4a = 6 + 3a Solving -2 + 4a = 6 + 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. -2 + 4a + -3a = 6 + 3a + -3a Combine like terms: 4a + -3a = 1a -2 + 1a = 6 + 3a + -3a Combine like terms: 3a + -3a = 0 -2 + 1a = 6 + 0 -2 + 1a = 6 Add '2' to each side of the equation. -2 + 2 + 1a = 6 + 2 Combine like terms: -2 + 2 = 0 0 + 1a = 6 + 2 1a = 6 + 2 Combine like terms: 6 + 2 = 8 1a = 8 Divide each side by '1'. a = 8 Simplifying a = 8
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