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Simplifying 23 + -2b = 7(3b + 5) Reorder the terms: 23 + -2b = 7(5 + 3b) 23 + -2b = (5 * 7 + 3b * 7) 23 + -2b = (35 + 21b) Solving 23 + -2b = 35 + 21b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-21b' to each side of the equation. 23 + -2b + -21b = 35 + 21b + -21b Combine like terms: -2b + -21b = -23b 23 + -23b = 35 + 21b + -21b Combine like terms: 21b + -21b = 0 23 + -23b = 35 + 0 23 + -23b = 35 Add '-23' to each side of the equation. 23 + -23 + -23b = 35 + -23 Combine like terms: 23 + -23 = 0 0 + -23b = 35 + -23 -23b = 35 + -23 Combine like terms: 35 + -23 = 12 -23b = 12 Divide each side by '-23'. b = -0.5217391304 Simplifying b = -0.5217391304
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