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Simplifying 50 = 8(7 + 7r) + -1(4r + b) 50 = (7 * 8 + 7r * 8) + -1(4r + b) 50 = (56 + 56r) + -1(4r + b) Reorder the terms: 50 = 56 + 56r + -1(b + 4r) 50 = 56 + 56r + (b * -1 + 4r * -1) 50 = 56 + 56r + (-1b + -4r) Reorder the terms: 50 = 56 + -1b + 56r + -4r Combine like terms: 56r + -4r = 52r 50 = 56 + -1b + 52r Solving 50 = 56 + -1b + 52r Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add 'b' to each side of the equation. 50 + b = 56 + -1b + b + 52r Combine like terms: -1b + b = 0 50 + b = 56 + 0 + 52r 50 + b = 56 + 52r Add '-50' to each side of the equation. 50 + -50 + b = 56 + -50 + 52r Combine like terms: 50 + -50 = 0 0 + b = 56 + -50 + 52r b = 56 + -50 + 52r Combine like terms: 56 + -50 = 6 b = 6 + 52r Simplifying b = 6 + 52r
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