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Simplifying 8b + -5 = 2 + -1(-7b + 6) Reorder the terms: -5 + 8b = 2 + -1(-7b + 6) Reorder the terms: -5 + 8b = 2 + -1(6 + -7b) -5 + 8b = 2 + (6 * -1 + -7b * -1) -5 + 8b = 2 + (-6 + 7b) Combine like terms: 2 + -6 = -4 -5 + 8b = -4 + 7b Solving -5 + 8b = -4 + 7b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-7b' to each side of the equation. -5 + 8b + -7b = -4 + 7b + -7b Combine like terms: 8b + -7b = 1b -5 + 1b = -4 + 7b + -7b Combine like terms: 7b + -7b = 0 -5 + 1b = -4 + 0 -5 + 1b = -4 Add '5' to each side of the equation. -5 + 5 + 1b = -4 + 5 Combine like terms: -5 + 5 = 0 0 + 1b = -4 + 5 1b = -4 + 5 Combine like terms: -4 + 5 = 1 1b = 1 Divide each side by '1'. b = 1 Simplifying b = 1
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