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Simplifying 16a + 21 = 20a + -9 Reorder the terms: 21 + 16a = 20a + -9 Reorder the terms: 21 + 16a = -9 + 20a Solving 21 + 16a = -9 + 20a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-20a' to each side of the equation. 21 + 16a + -20a = -9 + 20a + -20a Combine like terms: 16a + -20a = -4a 21 + -4a = -9 + 20a + -20a Combine like terms: 20a + -20a = 0 21 + -4a = -9 + 0 21 + -4a = -9 Add '-21' to each side of the equation. 21 + -21 + -4a = -9 + -21 Combine like terms: 21 + -21 = 0 0 + -4a = -9 + -21 -4a = -9 + -21 Combine like terms: -9 + -21 = -30 -4a = -30 Divide each side by '-4'. a = 7.5 Simplifying a = 7.5
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