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Simplifying 2(a + 1) = 4(a + -2) + -1a Reorder the terms: 2(1 + a) = 4(a + -2) + -1a (1 * 2 + a * 2) = 4(a + -2) + -1a (2 + 2a) = 4(a + -2) + -1a Reorder the terms: 2 + 2a = 4(-2 + a) + -1a 2 + 2a = (-2 * 4 + a * 4) + -1a 2 + 2a = (-8 + 4a) + -1a Combine like terms: 4a + -1a = 3a 2 + 2a = -8 + 3a Solving 2 + 2a = -8 + 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 + 2a + -3a = -8 + 3a + -3a Combine like terms: 2a + -3a = -1a 2 + -1a = -8 + 3a + -3a Combine like terms: 3a + -3a = 0 2 + -1a = -8 + 0 2 + -1a = -8 Add '-2' to each side of the equation. 2 + -2 + -1a = -8 + -2 Combine like terms: 2 + -2 = 0 0 + -1a = -8 + -2 -1a = -8 + -2 Combine like terms: -8 + -2 = -10 -1a = -10 Divide each side by '-1'. a = 10 Simplifying a = 10
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