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Simplifying 2a + 16 = 6a + -24 Reorder the terms: 16 + 2a = 6a + -24 Reorder the terms: 16 + 2a = -24 + 6a Solving 16 + 2a = -24 + 6a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-6a' to each side of the equation. 16 + 2a + -6a = -24 + 6a + -6a Combine like terms: 2a + -6a = -4a 16 + -4a = -24 + 6a + -6a Combine like terms: 6a + -6a = 0 16 + -4a = -24 + 0 16 + -4a = -24 Add '-16' to each side of the equation. 16 + -16 + -4a = -24 + -16 Combine like terms: 16 + -16 = 0 0 + -4a = -24 + -16 -4a = -24 + -16 Combine like terms: -24 + -16 = -40 -4a = -40 Divide each side by '-4'. a = 10 Simplifying a = 10
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