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Simplifying -7(b + 1) = (5b + -2) Reorder the terms: -7(1 + b) = (5b + -2) (1 * -7 + b * -7) = (5b + -2) (-7 + -7b) = (5b + -2) Reorder the terms: -7 + -7b = (-2 + 5b) Remove parenthesis around (-2 + 5b) -7 + -7b = -2 + 5b Solving -7 + -7b = -2 + 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. -7 + -7b + -5b = -2 + 5b + -5b Combine like terms: -7b + -5b = -12b -7 + -12b = -2 + 5b + -5b Combine like terms: 5b + -5b = 0 -7 + -12b = -2 + 0 -7 + -12b = -2 Add '7' to each side of the equation. -7 + 7 + -12b = -2 + 7 Combine like terms: -7 + 7 = 0 0 + -12b = -2 + 7 -12b = -2 + 7 Combine like terms: -2 + 7 = 5 -12b = 5 Divide each side by '-12'. b = -0.4166666667 Simplifying b = -0.4166666667
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