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Simplifying -1(b + 1) + -1 = 5 + -5b Reorder the terms: -1(1 + b) + -1 = 5 + -5b (1 * -1 + b * -1) + -1 = 5 + -5b (-1 + -1b) + -1 = 5 + -5b Reorder the terms: -1 + -1 + -1b = 5 + -5b Combine like terms: -1 + -1 = -2 -2 + -1b = 5 + -5b Solving -2 + -1b = 5 + -5b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '5b' to each side of the equation. -2 + -1b + 5b = 5 + -5b + 5b Combine like terms: -1b + 5b = 4b -2 + 4b = 5 + -5b + 5b Combine like terms: -5b + 5b = 0 -2 + 4b = 5 + 0 -2 + 4b = 5 Add '2' to each side of the equation. -2 + 2 + 4b = 5 + 2 Combine like terms: -2 + 2 = 0 0 + 4b = 5 + 2 4b = 5 + 2 Combine like terms: 5 + 2 = 7 4b = 7 Divide each side by '4'. b = 1.75 Simplifying b = 1.75
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