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Simplifying a + 28 = 7a + 16 Reorder the terms: 28 + a = 7a + 16 Reorder the terms: 28 + a = 16 + 7a Solving 28 + a = 16 + 7a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-7a' to each side of the equation. 28 + a + -7a = 16 + 7a + -7a Combine like terms: a + -7a = -6a 28 + -6a = 16 + 7a + -7a Combine like terms: 7a + -7a = 0 28 + -6a = 16 + 0 28 + -6a = 16 Add '-28' to each side of the equation. 28 + -28 + -6a = 16 + -28 Combine like terms: 28 + -28 = 0 0 + -6a = 16 + -28 -6a = 16 + -28 Combine like terms: 16 + -28 = -12 -6a = -12 Divide each side by '-6'. a = 2 Simplifying a = 2
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