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Simplifying 4a + -16 + 2a = 12a + 21 + -1a Reorder the terms: -16 + 4a + 2a = 12a + 21 + -1a Combine like terms: 4a + 2a = 6a -16 + 6a = 12a + 21 + -1a Reorder the terms: -16 + 6a = 21 + 12a + -1a Combine like terms: 12a + -1a = 11a -16 + 6a = 21 + 11a Solving -16 + 6a = 21 + 11a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-11a' to each side of the equation. -16 + 6a + -11a = 21 + 11a + -11a Combine like terms: 6a + -11a = -5a -16 + -5a = 21 + 11a + -11a Combine like terms: 11a + -11a = 0 -16 + -5a = 21 + 0 -16 + -5a = 21 Add '16' to each side of the equation. -16 + 16 + -5a = 21 + 16 Combine like terms: -16 + 16 = 0 0 + -5a = 21 + 16 -5a = 21 + 16 Combine like terms: 21 + 16 = 37 -5a = 37 Divide each side by '-5'. a = -7.4 Simplifying a = -7.4
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