Question
Simplify: 13 – [7 – (4 + 7) – {7 – (7 –
4 + 7)} + 14]Solution
13 – [7 – (4 + 7) – {7 – (7 – 4 + 7)} + 14] = 13 – [7 – 11 – {7 – (7 – 4 + 7)} + 14] = 13 – [7 – 11 – {7 – (3 + 7)} + 14] = 13 – [7 – 11 – {7 – 10} + 14] = 13 – [7 – 11 – {–3} + 14] = 13 – [7 – 11 + 3 + 14] = 13 – [(7 – 11) + 3 + 14] = 13 – [(–4) + 3 + 14] = 13 – [(–4 + 3) + 14] = 13 – [(–1) + 14] = 13 – [13] = 13 – 13 = 0
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