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Simplifying a + b + c + d + 80 + 70 = 100 Reorder the terms: 80 + 70 + a + b + c + d = 100 Combine like terms: 80 + 70 = 150 150 + a + b + c + d = 100 Solving 150 + a + b + c + d = 100 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-150' to each side of the equation. 150 + a + b + c + -150 + d = 100 + -150 Reorder the terms: 150 + -150 + a + b + c + d = 100 + -150 Combine like terms: 150 + -150 = 0 0 + a + b + c + d = 100 + -150 a + b + c + d = 100 + -150 Combine like terms: 100 + -150 = -50 a + b + c + d = -50 Add '-1b' to each side of the equation. a + b + c + -1b + d = -50 + -1b Reorder the terms: a + b + -1b + c + d = -50 + -1b Combine like terms: b + -1b = 0 a + 0 + c + d = -50 + -1b a + c + d = -50 + -1b Add '-1c' to each side of the equation. a + c + -1c + d = -50 + -1b + -1c Combine like terms: c + -1c = 0 a + 0 + d = -50 + -1b + -1c a + d = -50 + -1b + -1c Add '-1d' to each side of the equation. a + d + -1d = -50 + -1b + -1c + -1d Combine like terms: d + -1d = 0 a + 0 = -50 + -1b + -1c + -1d a = -50 + -1b + -1c + -1d Simplifying a = -50 + -1b + -1c + -1d
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