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Simplifying 8 + 32a = 40a + -16 Reorder the terms: 8 + 32a = -16 + 40a Solving 8 + 32a = -16 + 40a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-40a' to each side of the equation. 8 + 32a + -40a = -16 + 40a + -40a Combine like terms: 32a + -40a = -8a 8 + -8a = -16 + 40a + -40a Combine like terms: 40a + -40a = 0 8 + -8a = -16 + 0 8 + -8a = -16 Add '-8' to each side of the equation. 8 + -8 + -8a = -16 + -8 Combine like terms: 8 + -8 = 0 0 + -8a = -16 + -8 -8a = -16 + -8 Combine like terms: -16 + -8 = -24 -8a = -24 Divide each side by '-8'. a = 3 Simplifying a = 3
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