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Simplifying 4 + -1(4a + -2) = 2(a + 1) + -4 Reorder the terms: 4 + -1(-2 + 4a) = 2(a + 1) + -4 4 + (-2 * -1 + 4a * -1) = 2(a + 1) + -4 4 + (2 + -4a) = 2(a + 1) + -4 Combine like terms: 4 + 2 = 6 6 + -4a = 2(a + 1) + -4 Reorder the terms: 6 + -4a = 2(1 + a) + -4 6 + -4a = (1 * 2 + a * 2) + -4 6 + -4a = (2 + 2a) + -4 Reorder the terms: 6 + -4a = 2 + -4 + 2a Combine like terms: 2 + -4 = -2 6 + -4a = -2 + 2a Solving 6 + -4a = -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. 6 + -4a + -2a = -2 + 2a + -2a Combine like terms: -4a + -2a = -6a 6 + -6a = -2 + 2a + -2a Combine like terms: 2a + -2a = 0 6 + -6a = -2 + 0 6 + -6a = -2 Add '-6' to each side of the equation. 6 + -6 + -6a = -2 + -6 Combine like terms: 6 + -6 = 0 0 + -6a = -2 + -6 -6a = -2 + -6 Combine like terms: -2 + -6 = -8 -6a = -8 Divide each side by '-6'. a = 1.333333333 Simplifying a = 1.333333333
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