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Simplifying -23 + -7b = 8(5b + 9) Reorder the terms: -23 + -7b = 8(9 + 5b) -23 + -7b = (9 * 8 + 5b * 8) -23 + -7b = (72 + 40b) Solving -23 + -7b = 72 + 40b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-40b' to each side of the equation. -23 + -7b + -40b = 72 + 40b + -40b Combine like terms: -7b + -40b = -47b -23 + -47b = 72 + 40b + -40b Combine like terms: 40b + -40b = 0 -23 + -47b = 72 + 0 -23 + -47b = 72 Add '23' to each side of the equation. -23 + 23 + -47b = 72 + 23 Combine like terms: -23 + 23 = 0 0 + -47b = 72 + 23 -47b = 72 + 23 Combine like terms: 72 + 23 = 95 -47b = 95 Divide each side by '-47'. b = -2.021276596 Simplifying b = -2.021276596
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