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Simplifying 6a + 3(2a + -1) = 2(a + -1) Reorder the terms: 6a + 3(-1 + 2a) = 2(a + -1) 6a + (-1 * 3 + 2a * 3) = 2(a + -1) 6a + (-3 + 6a) = 2(a + -1) Reorder the terms: -3 + 6a + 6a = 2(a + -1) Combine like terms: 6a + 6a = 12a -3 + 12a = 2(a + -1) Reorder the terms: -3 + 12a = 2(-1 + a) -3 + 12a = (-1 * 2 + a * 2) -3 + 12a = (-2 + 2a) Solving -3 + 12a = -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. -3 + 12a + -2a = -2 + 2a + -2a Combine like terms: 12a + -2a = 10a -3 + 10a = -2 + 2a + -2a Combine like terms: 2a + -2a = 0 -3 + 10a = -2 + 0 -3 + 10a = -2 Add '3' to each side of the equation. -3 + 3 + 10a = -2 + 3 Combine like terms: -3 + 3 = 0 0 + 10a = -2 + 3 10a = -2 + 3 Combine like terms: -2 + 3 = 1 10a = 1 Divide each side by '10'. a = 0.1 Simplifying a = 0.1
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