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Simplifying a + b + b + b + a + n + p = 100 Reorder the terms: a + a + b + b + b + n + p = 100 Combine like terms: a + a = 2a 2a + b + b + b + n + p = 100 Combine like terms: b + b = 2b 2a + 2b + b + n + p = 100 Combine like terms: 2b + b = 3b 2a + 3b + n + p = 100 Solving 2a + 3b + n + p = 100 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-3b' to each side of the equation. 2a + 3b + n + -3b + p = 100 + -3b Reorder the terms: 2a + 3b + -3b + n + p = 100 + -3b Combine like terms: 3b + -3b = 0 2a + 0 + n + p = 100 + -3b 2a + n + p = 100 + -3b Add '-1n' to each side of the equation. 2a + n + -1n + p = 100 + -3b + -1n Combine like terms: n + -1n = 0 2a + 0 + p = 100 + -3b + -1n 2a + p = 100 + -3b + -1n Add '-1p' to each side of the equation. 2a + p + -1p = 100 + -3b + -1n + -1p Combine like terms: p + -1p = 0 2a + 0 = 100 + -3b + -1n + -1p 2a = 100 + -3b + -1n + -1p Divide each side by '2'. a = 50 + -1.5b + -0.5n + -0.5p Simplifying a = 50 + -1.5b + -0.5n + -0.5p
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