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Simplifying a + 72 = 6a + 32 Reorder the terms: 72 + a = 6a + 32 Reorder the terms: 72 + a = 32 + 6a Solving 72 + a = 32 + 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. 72 + a + -6a = 32 + 6a + -6a Combine like terms: a + -6a = -5a 72 + -5a = 32 + 6a + -6a Combine like terms: 6a + -6a = 0 72 + -5a = 32 + 0 72 + -5a = 32 Add '-72' to each side of the equation. 72 + -72 + -5a = 32 + -72 Combine like terms: 72 + -72 = 0 0 + -5a = 32 + -72 -5a = 32 + -72 Combine like terms: 32 + -72 = -40 -5a = -40 Divide each side by '-5'. a = 8 Simplifying a = 8
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