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Simplifying 3a + -5 = 2(1 + -2a) Reorder the terms: -5 + 3a = 2(1 + -2a) -5 + 3a = (1 * 2 + -2a * 2) -5 + 3a = (2 + -4a) Solving -5 + 3a = 2 + -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. -5 + 3a + 4a = 2 + -4a + 4a Combine like terms: 3a + 4a = 7a -5 + 7a = 2 + -4a + 4a Combine like terms: -4a + 4a = 0 -5 + 7a = 2 + 0 -5 + 7a = 2 Add '5' to each side of the equation. -5 + 5 + 7a = 2 + 5 Combine like terms: -5 + 5 = 0 0 + 7a = 2 + 5 7a = 2 + 5 Combine like terms: 2 + 5 = 7 7a = 7 Divide each side by '7'. a = 1 Simplifying a = 1
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