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Simplifying 7a + -4 = 2a + 21 Reorder the terms: -4 + 7a = 2a + 21 Reorder the terms: -4 + 7a = 21 + 2a Solving -4 + 7a = 21 + 2a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-2a' to each side of the equation. -4 + 7a + -2a = 21 + 2a + -2a Combine like terms: 7a + -2a = 5a -4 + 5a = 21 + 2a + -2a Combine like terms: 2a + -2a = 0 -4 + 5a = 21 + 0 -4 + 5a = 21 Add '4' to each side of the equation. -4 + 4 + 5a = 21 + 4 Combine like terms: -4 + 4 = 0 0 + 5a = 21 + 4 5a = 21 + 4 Combine like terms: 21 + 4 = 25 5a = 25 Divide each side by '5'. a = 5 Simplifying a = 5
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