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