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Simplifying 23 = -1(b + -5) + 7b Reorder the terms: 23 = -1(-5 + b) + 7b 23 = (-5 * -1 + b * -1) + 7b 23 = (5 + -1b) + 7b Combine like terms: -1b + 7b = 6b 23 = 5 + 6b Solving 23 = 5 + 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. 23 + -6b = 5 + 6b + -6b Combine like terms: 6b + -6b = 0 23 + -6b = 5 + 0 23 + -6b = 5 Add '-23' to each side of the equation. 23 + -23 + -6b = 5 + -23 Combine like terms: 23 + -23 = 0 0 + -6b = 5 + -23 -6b = 5 + -23 Combine like terms: 5 + -23 = -18 -6b = -18 Divide each side by '-6'. b = 3 Simplifying b = 3
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