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Simplifying -5b + 7 = 4 + b + -5b + 8 Reorder the terms: 7 + -5b = 4 + b + -5b + 8 Reorder the terms: 7 + -5b = 4 + 8 + b + -5b Combine like terms: 4 + 8 = 12 7 + -5b = 12 + b + -5b Combine like terms: b + -5b = -4b 7 + -5b = 12 + -4b Solving 7 + -5b = 12 + -4b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '4b' to each side of the equation. 7 + -5b + 4b = 12 + -4b + 4b Combine like terms: -5b + 4b = -1b 7 + -1b = 12 + -4b + 4b Combine like terms: -4b + 4b = 0 7 + -1b = 12 + 0 7 + -1b = 12 Add '-7' to each side of the equation. 7 + -7 + -1b = 12 + -7 Combine like terms: 7 + -7 = 0 0 + -1b = 12 + -7 -1b = 12 + -7 Combine like terms: 12 + -7 = 5 -1b = 5 Divide each side by '-1'. b = -5 Simplifying b = -5
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