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Simplifying 3a + 16 = 5a + -24 Reorder the terms: 16 + 3a = 5a + -24 Reorder the terms: 16 + 3a = -24 + 5a Solving 16 + 3a = -24 + 5a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-5a' to each side of the equation. 16 + 3a + -5a = -24 + 5a + -5a Combine like terms: 3a + -5a = -2a 16 + -2a = -24 + 5a + -5a Combine like terms: 5a + -5a = 0 16 + -2a = -24 + 0 16 + -2a = -24 Add '-16' to each side of the equation. 16 + -16 + -2a = -24 + -16 Combine like terms: 16 + -16 = 0 0 + -2a = -24 + -16 -2a = -24 + -16 Combine like terms: -24 + -16 = -40 -2a = -40 Divide each side by '-2'. a = 20 Simplifying a = 20
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