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Simplifying 5b + 8 = b + -1(7 + -1b) Reorder the terms: 8 + 5b = b + -1(7 + -1b) 8 + 5b = b + (7 * -1 + -1b * -1) 8 + 5b = b + (-7 + 1b) Reorder the terms: 8 + 5b = -7 + b + 1b Combine like terms: b + 1b = 2b 8 + 5b = -7 + 2b Solving 8 + 5b = -7 + 2b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-2b' to each side of the equation. 8 + 5b + -2b = -7 + 2b + -2b Combine like terms: 5b + -2b = 3b 8 + 3b = -7 + 2b + -2b Combine like terms: 2b + -2b = 0 8 + 3b = -7 + 0 8 + 3b = -7 Add '-8' to each side of the equation. 8 + -8 + 3b = -7 + -8 Combine like terms: 8 + -8 = 0 0 + 3b = -7 + -8 3b = -7 + -8 Combine like terms: -7 + -8 = -15 3b = -15 Divide each side by '3'. b = -5 Simplifying b = -5
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