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Simplifying 2a + 4(a + -1) = 3 + -2(a + 1) Reorder the terms: 2a + 4(-1 + a) = 3 + -2(a + 1) 2a + (-1 * 4 + a * 4) = 3 + -2(a + 1) 2a + (-4 + 4a) = 3 + -2(a + 1) Reorder the terms: -4 + 2a + 4a = 3 + -2(a + 1) Combine like terms: 2a + 4a = 6a -4 + 6a = 3 + -2(a + 1) Reorder the terms: -4 + 6a = 3 + -2(1 + a) -4 + 6a = 3 + (1 * -2 + a * -2) -4 + 6a = 3 + (-2 + -2a) Combine like terms: 3 + -2 = 1 -4 + 6a = 1 + -2a Solving -4 + 6a = 1 + -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. -4 + 6a + 2a = 1 + -2a + 2a Combine like terms: 6a + 2a = 8a -4 + 8a = 1 + -2a + 2a Combine like terms: -2a + 2a = 0 -4 + 8a = 1 + 0 -4 + 8a = 1 Add '4' to each side of the equation. -4 + 4 + 8a = 1 + 4 Combine like terms: -4 + 4 = 0 0 + 8a = 1 + 4 8a = 1 + 4 Combine like terms: 1 + 4 = 5 8a = 5 Divide each side by '8'. a = 0.625 Simplifying a = 0.625
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