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Simplifying 7[a + 3] + 21 = 91 Reorder the terms: 7[3 + a] + 21 = 91 [3 * 7 + a * 7] + 21 = 91 [21 + 7a] + 21 = 91 Reorder the terms: 21 + 21 + 7a = 91 Combine like terms: 21 + 21 = 42 42 + 7a = 91 Solving 42 + 7a = 91 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-42' to each side of the equation. 42 + -42 + 7a = 91 + -42 Combine like terms: 42 + -42 = 0 0 + 7a = 91 + -42 7a = 91 + -42 Combine like terms: 91 + -42 = 49 7a = 49 Divide each side by '7'. a = 7 Simplifying a = 7
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