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Simplifying 1(9 + b) + -9(b + -1) = 56 (9 * 1 + b * 1) + -9(b + -1) = 56 (9 + 1b) + -9(b + -1) = 56 Reorder the terms: 9 + 1b + -9(-1 + b) = 56 9 + 1b + (-1 * -9 + b * -9) = 56 9 + 1b + (9 + -9b) = 56 Reorder the terms: 9 + 9 + 1b + -9b = 56 Combine like terms: 9 + 9 = 18 18 + 1b + -9b = 56 Combine like terms: 1b + -9b = -8b 18 + -8b = 56 Solving 18 + -8b = 56 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-18' to each side of the equation. 18 + -18 + -8b = 56 + -18 Combine like terms: 18 + -18 = 0 0 + -8b = 56 + -18 -8b = 56 + -18 Combine like terms: 56 + -18 = 38 -8b = 38 Divide each side by '-8'. b = -4.75 Simplifying b = -4.75
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