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Simplifying 1 + -7b + 8b + -1 = -7(-1 + -2b) + 7(b + -1) Reorder the terms: 1 + -1 + -7b + 8b = -7(-1 + -2b) + 7(b + -1) Combine like terms: 1 + -1 = 0 0 + -7b + 8b = -7(-1 + -2b) + 7(b + -1) -7b + 8b = -7(-1 + -2b) + 7(b + -1) Combine like terms: -7b + 8b = 1b 1b = -7(-1 + -2b) + 7(b + -1) 1b = (-1 * -7 + -2b * -7) + 7(b + -1) 1b = (7 + 14b) + 7(b + -1) Reorder the terms: 1b = 7 + 14b + 7(-1 + b) 1b = 7 + 14b + (-1 * 7 + b * 7) 1b = 7 + 14b + (-7 + 7b) Reorder the terms: 1b = 7 + -7 + 14b + 7b Combine like terms: 7 + -7 = 0 1b = 0 + 14b + 7b 1b = 14b + 7b Combine like terms: 14b + 7b = 21b 1b = 21b Solving 1b = 21b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-21b' to each side of the equation. 1b + -21b = 21b + -21b Combine like terms: 1b + -21b = -20b -20b = 21b + -21b Combine like terms: 21b + -21b = 0 -20b = 0 Divide each side by '-20'. b = 0.0 Simplifying b = 0.0
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