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Simplifying 1 + -4b + 2b + 5 = b + -6 + -7b Reorder the terms: 1 + 5 + -4b + 2b = b + -6 + -7b Combine like terms: 1 + 5 = 6 6 + -4b + 2b = b + -6 + -7b Combine like terms: -4b + 2b = -2b 6 + -2b = b + -6 + -7b Reorder the terms: 6 + -2b = -6 + b + -7b Combine like terms: b + -7b = -6b 6 + -2b = -6 + -6b Solving 6 + -2b = -6 + -6b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '6b' to each side of the equation. 6 + -2b + 6b = -6 + -6b + 6b Combine like terms: -2b + 6b = 4b 6 + 4b = -6 + -6b + 6b Combine like terms: -6b + 6b = 0 6 + 4b = -6 + 0 6 + 4b = -6 Add '-6' to each side of the equation. 6 + -6 + 4b = -6 + -6 Combine like terms: 6 + -6 = 0 0 + 4b = -6 + -6 4b = -6 + -6 Combine like terms: -6 + -6 = -12 4b = -12 Divide each side by '4'. b = -3 Simplifying b = -3
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