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Simplifying 5 * 9 + 8 = 71 + b * 9 Multiply 5 * 9 45 + 8 = 71 + b * 9 Combine like terms: 45 + 8 = 53 53 = 71 + b * 9 Reorder the terms for easier multiplication: 53 = 71 + 9b Solving 53 = 71 + 9b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-9b' to each side of the equation. 53 + -9b = 71 + 9b + -9b Combine like terms: 9b + -9b = 0 53 + -9b = 71 + 0 53 + -9b = 71 Add '-53' to each side of the equation. 53 + -53 + -9b = 71 + -53 Combine like terms: 53 + -53 = 0 0 + -9b = 71 + -53 -9b = 71 + -53 Combine like terms: 71 + -53 = 18 -9b = 18 Divide each side by '-9'. b = -2 Simplifying b = -2
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