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Simplifying a + -5 + b + -5 + c + -5 + d + -5 = 46 Reorder the terms: -5 + -5 + -5 + -5 + a + b + c + d = 46 Combine like terms: -5 + -5 = -10 -10 + -5 + -5 + a + b + c + d = 46 Combine like terms: -10 + -5 = -15 -15 + -5 + a + b + c + d = 46 Combine like terms: -15 + -5 = -20 -20 + a + b + c + d = 46 Solving -20 + a + b + c + d = 46 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '20' to each side of the equation. -20 + a + b + c + 20 + d = 46 + 20 Reorder the terms: -20 + 20 + a + b + c + d = 46 + 20 Combine like terms: -20 + 20 = 0 0 + a + b + c + d = 46 + 20 a + b + c + d = 46 + 20 Combine like terms: 46 + 20 = 66 a + b + c + d = 66 Add '-1b' to each side of the equation. a + b + c + -1b + d = 66 + -1b Reorder the terms: a + b + -1b + c + d = 66 + -1b Combine like terms: b + -1b = 0 a + 0 + c + d = 66 + -1b a + c + d = 66 + -1b Add '-1c' to each side of the equation. a + c + -1c + d = 66 + -1b + -1c Combine like terms: c + -1c = 0 a + 0 + d = 66 + -1b + -1c a + d = 66 + -1b + -1c Add '-1d' to each side of the equation. a + d + -1d = 66 + -1b + -1c + -1d Combine like terms: d + -1d = 0 a + 0 = 66 + -1b + -1c + -1d a = 66 + -1b + -1c + -1d Simplifying a = 66 + -1b + -1c + -1d
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