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Simplifying -1b + 4b + 7 = 8b + -1b + -5 Reorder the terms: 7 + -1b + 4b = 8b + -1b + -5 Combine like terms: -1b + 4b = 3b 7 + 3b = 8b + -1b + -5 Reorder the terms: 7 + 3b = -5 + 8b + -1b Combine like terms: 8b + -1b = 7b 7 + 3b = -5 + 7b Solving 7 + 3b = -5 + 7b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-7b' to each side of the equation. 7 + 3b + -7b = -5 + 7b + -7b Combine like terms: 3b + -7b = -4b 7 + -4b = -5 + 7b + -7b Combine like terms: 7b + -7b = 0 7 + -4b = -5 + 0 7 + -4b = -5 Add '-7' to each side of the equation. 7 + -7 + -4b = -5 + -7 Combine like terms: 7 + -7 = 0 0 + -4b = -5 + -7 -4b = -5 + -7 Combine like terms: -5 + -7 = -12 -4b = -12 Divide each side by '-4'. b = 3 Simplifying b = 3
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