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Simplifying a + (a + 6) + [(a + 6) + 5] = 41 Reorder the terms: a + (6 + a) + [(a + 6) + 5] = 41 Remove parenthesis around (6 + a) a + 6 + a + [(a + 6) + 5] = 41 Reorder the terms: a + 6 + a + [(6 + a) + 5] = 41 Remove parenthesis around (6 + a) a + 6 + a + [6 + a + 5] = 41 Reorder the terms: a + 6 + a + [6 + 5 + a] = 41 Combine like terms: 6 + 5 = 11 a + 6 + a + [11 + a] = 41 Remove brackets around [11 + a] a + 6 + a + 11 + a = 41 Reorder the terms: 6 + 11 + a + a + a = 41 Combine like terms: 6 + 11 = 17 17 + a + a + a = 41 Combine like terms: a + a = 2a 17 + 2a + a = 41 Combine like terms: 2a + a = 3a 17 + 3a = 41 Solving 17 + 3a = 41 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-17' to each side of the equation. 17 + -17 + 3a = 41 + -17 Combine like terms: 17 + -17 = 0 0 + 3a = 41 + -17 3a = 41 + -17 Combine like terms: 41 + -17 = 24 3a = 24 Divide each side by '3'. a = 8 Simplifying a = 8
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