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Simplifying a + -4 = 5 + 2(1 + -2a) Reorder the terms: -4 + a = 5 + 2(1 + -2a) -4 + a = 5 + (1 * 2 + -2a * 2) -4 + a = 5 + (2 + -4a) Combine like terms: 5 + 2 = 7 -4 + a = 7 + -4a Solving -4 + a = 7 + -4a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '4a' to each side of the equation. -4 + a + 4a = 7 + -4a + 4a Combine like terms: a + 4a = 5a -4 + 5a = 7 + -4a + 4a Combine like terms: -4a + 4a = 0 -4 + 5a = 7 + 0 -4 + 5a = 7 Add '4' to each side of the equation. -4 + 4 + 5a = 7 + 4 Combine like terms: -4 + 4 = 0 0 + 5a = 7 + 4 5a = 7 + 4 Combine like terms: 7 + 4 = 11 5a = 11 Divide each side by '5'. a = 2.2 Simplifying a = 2.2
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