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Simplifying a + 16 = 3a + -24 Reorder the terms: 16 + a = 3a + -24 Reorder the terms: 16 + a = -24 + 3a Solving 16 + a = -24 + 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. 16 + a + -3a = -24 + 3a + -3a Combine like terms: a + -3a = -2a 16 + -2a = -24 + 3a + -3a Combine like terms: 3a + -3a = 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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