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Simplifying 2(3a + -1) = 2(a + 1) Reorder the terms: 2(-1 + 3a) = 2(a + 1) (-1 * 2 + 3a * 2) = 2(a + 1) (-2 + 6a) = 2(a + 1) Reorder the terms: -2 + 6a = 2(1 + a) -2 + 6a = (1 * 2 + a * 2) -2 + 6a = (2 + 2a) Solving -2 + 6a = 2 + 2a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-2a' to each side of the equation. -2 + 6a + -2a = 2 + 2a + -2a Combine like terms: 6a + -2a = 4a -2 + 4a = 2 + 2a + -2a Combine like terms: 2a + -2a = 0 -2 + 4a = 2 + 0 -2 + 4a = 2 Add '2' to each side of the equation. -2 + 2 + 4a = 2 + 2 Combine like terms: -2 + 2 = 0 0 + 4a = 2 + 2 4a = 2 + 2 Combine like terms: 2 + 2 = 4 4a = 4 Divide each side by '4'. a = 1 Simplifying a = 1
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