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Simplifying 6a + -5 = a + 2a + 16 Reorder the terms: -5 + 6a = a + 2a + 16 Reorder the terms: -5 + 6a = 16 + a + 2a Combine like terms: a + 2a = 3a -5 + 6a = 16 + 3a Solving -5 + 6a = 16 + 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. -5 + 6a + -3a = 16 + 3a + -3a Combine like terms: 6a + -3a = 3a -5 + 3a = 16 + 3a + -3a Combine like terms: 3a + -3a = 0 -5 + 3a = 16 + 0 -5 + 3a = 16 Add '5' to each side of the equation. -5 + 5 + 3a = 16 + 5 Combine like terms: -5 + 5 = 0 0 + 3a = 16 + 5 3a = 16 + 5 Combine like terms: 16 + 5 = 21 3a = 21 Divide each side by '3'. a = 7 Simplifying a = 7
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