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Simplifying a + 3 + 21 = -1 + 3a + 4 Reorder the terms: 3 + 21 + a = -1 + 3a + 4 Combine like terms: 3 + 21 = 24 24 + a = -1 + 3a + 4 Reorder the terms: 24 + a = -1 + 4 + 3a Combine like terms: -1 + 4 = 3 24 + a = 3 + 3a Solving 24 + a = 3 + 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. 24 + a + -3a = 3 + 3a + -3a Combine like terms: a + -3a = -2a 24 + -2a = 3 + 3a + -3a Combine like terms: 3a + -3a = 0 24 + -2a = 3 + 0 24 + -2a = 3 Add '-24' to each side of the equation. 24 + -24 + -2a = 3 + -24 Combine like terms: 24 + -24 = 0 0 + -2a = 3 + -24 -2a = 3 + -24 Combine like terms: 3 + -24 = -21 -2a = -21 Divide each side by '-2'. a = 10.5 Simplifying a = 10.5
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