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Simplifying 10a + -9 = 4a + 21 Reorder the terms: -9 + 10a = 4a + 21 Reorder the terms: -9 + 10a = 21 + 4a Solving -9 + 10a = 21 + 4a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-4a' to each side of the equation. -9 + 10a + -4a = 21 + 4a + -4a Combine like terms: 10a + -4a = 6a -9 + 6a = 21 + 4a + -4a Combine like terms: 4a + -4a = 0 -9 + 6a = 21 + 0 -9 + 6a = 21 Add '9' to each side of the equation. -9 + 9 + 6a = 21 + 9 Combine like terms: -9 + 9 = 0 0 + 6a = 21 + 9 6a = 21 + 9 Combine like terms: 21 + 9 = 30 6a = 30 Divide each side by '6'. a = 5 Simplifying a = 5
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