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Simplifying 1 + -1b + -4b + 6 = b + 1 Reorder the terms: 1 + 6 + -1b + -4b = b + 1 Combine like terms: 1 + 6 = 7 7 + -1b + -4b = b + 1 Combine like terms: -1b + -4b = -5b 7 + -5b = b + 1 Reorder the terms: 7 + -5b = 1 + b Solving 7 + -5b = 1 + b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-1b' to each side of the equation. 7 + -5b + -1b = 1 + b + -1b Combine like terms: -5b + -1b = -6b 7 + -6b = 1 + b + -1b Combine like terms: b + -1b = 0 7 + -6b = 1 + 0 7 + -6b = 1 Add '-7' to each side of the equation. 7 + -7 + -6b = 1 + -7 Combine like terms: 7 + -7 = 0 0 + -6b = 1 + -7 -6b = 1 + -7 Combine like terms: 1 + -7 = -6 -6b = -6 Divide each side by '-6'. b = 1 Simplifying b = 1
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