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Simplifying 56 = 7(7b + 1) + -1(-2b + 2) Reorder the terms: 56 = 7(1 + 7b) + -1(-2b + 2) 56 = (1 * 7 + 7b * 7) + -1(-2b + 2) 56 = (7 + 49b) + -1(-2b + 2) Reorder the terms: 56 = 7 + 49b + -1(2 + -2b) 56 = 7 + 49b + (2 * -1 + -2b * -1) 56 = 7 + 49b + (-2 + 2b) Reorder the terms: 56 = 7 + -2 + 49b + 2b Combine like terms: 7 + -2 = 5 56 = 5 + 49b + 2b Combine like terms: 49b + 2b = 51b 56 = 5 + 51b Solving 56 = 5 + 51b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-51b' to each side of the equation. 56 + -51b = 5 + 51b + -51b Combine like terms: 51b + -51b = 0 56 + -51b = 5 + 0 56 + -51b = 5 Add '-56' to each side of the equation. 56 + -56 + -51b = 5 + -56 Combine like terms: 56 + -56 = 0 0 + -51b = 5 + -56 -51b = 5 + -56 Combine like terms: 5 + -56 = -51 -51b = -51 Divide each side by '-51'. b = 1 Simplifying b = 1
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