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