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Simplifying -3a + 19 = 2a + -16 Reorder the terms: 19 + -3a = 2a + -16 Reorder the terms: 19 + -3a = -16 + 2a Solving 19 + -3a = -16 + 2a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-2a' to each side of the equation. 19 + -3a + -2a = -16 + 2a + -2a Combine like terms: -3a + -2a = -5a 19 + -5a = -16 + 2a + -2a Combine like terms: 2a + -2a = 0 19 + -5a = -16 + 0 19 + -5a = -16 Add '-19' to each side of the equation. 19 + -19 + -5a = -16 + -19 Combine like terms: 19 + -19 = 0 0 + -5a = -16 + -19 -5a = -16 + -19 Combine like terms: -16 + -19 = -35 -5a = -35 Divide each side by '-5'. a = 7 Simplifying a = 7
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