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Simplifying -2a + 1 = 3a + 16 Reorder the terms: 1 + -2a = 3a + 16 Reorder the terms: 1 + -2a = 16 + 3a Solving 1 + -2a = 16 + 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. 1 + -2a + -3a = 16 + 3a + -3a Combine like terms: -2a + -3a = -5a 1 + -5a = 16 + 3a + -3a Combine like terms: 3a + -3a = 0 1 + -5a = 16 + 0 1 + -5a = 16 Add '-1' to each side of the equation. 1 + -1 + -5a = 16 + -1 Combine like terms: 1 + -1 = 0 0 + -5a = 16 + -1 -5a = 16 + -1 Combine like terms: 16 + -1 = 15 -5a = 15 Divide each side by '-5'. a = -3 Simplifying a = -3
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