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Simplifying 4a + -12 + -2a + 10 = 8 + -1a + 6 Reorder the terms: -12 + 10 + 4a + -2a = 8 + -1a + 6 Combine like terms: -12 + 10 = -2 -2 + 4a + -2a = 8 + -1a + 6 Combine like terms: 4a + -2a = 2a -2 + 2a = 8 + -1a + 6 Reorder the terms: -2 + 2a = 8 + 6 + -1a Combine like terms: 8 + 6 = 14 -2 + 2a = 14 + -1a Solving -2 + 2a = 14 + -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. -2 + 2a + a = 14 + -1a + a Combine like terms: 2a + a = 3a -2 + 3a = 14 + -1a + a Combine like terms: -1a + a = 0 -2 + 3a = 14 + 0 -2 + 3a = 14 Add '2' to each side of the equation. -2 + 2 + 3a = 14 + 2 Combine like terms: -2 + 2 = 0 0 + 3a = 14 + 2 3a = 14 + 2 Combine like terms: 14 + 2 = 16 3a = 16 Divide each side by '3'. a = 5.333333333 Simplifying a = 5.333333333
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