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Simplifying -1b + 8 = 7(8 + -7b) Reorder the terms: 8 + -1b = 7(8 + -7b) 8 + -1b = (8 * 7 + -7b * 7) 8 + -1b = (56 + -49b) Solving 8 + -1b = 56 + -49b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '49b' to each side of the equation. 8 + -1b + 49b = 56 + -49b + 49b Combine like terms: -1b + 49b = 48b 8 + 48b = 56 + -49b + 49b Combine like terms: -49b + 49b = 0 8 + 48b = 56 + 0 8 + 48b = 56 Add '-8' to each side of the equation. 8 + -8 + 48b = 56 + -8 Combine like terms: 8 + -8 = 0 0 + 48b = 56 + -8 48b = 56 + -8 Combine like terms: 56 + -8 = 48 48b = 48 Divide each side by '48'. b = 1 Simplifying b = 1
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