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Simplifying -4b + 5 = -15 + b + 5 + -7b Reorder the terms: 5 + -4b = -15 + b + 5 + -7b Reorder the terms: 5 + -4b = -15 + 5 + b + -7b Combine like terms: -15 + 5 = -10 5 + -4b = -10 + b + -7b Combine like terms: b + -7b = -6b 5 + -4b = -10 + -6b Solving 5 + -4b = -10 + -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. 5 + -4b + 6b = -10 + -6b + 6b Combine like terms: -4b + 6b = 2b 5 + 2b = -10 + -6b + 6b Combine like terms: -6b + 6b = 0 5 + 2b = -10 + 0 5 + 2b = -10 Add '-5' to each side of the equation. 5 + -5 + 2b = -10 + -5 Combine like terms: 5 + -5 = 0 0 + 2b = -10 + -5 2b = -10 + -5 Combine like terms: -10 + -5 = -15 2b = -15 Divide each side by '2'. b = -7.5 Simplifying b = -7.5
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