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Simplifying -7(b + 1) = 5(b + -2) Reorder the terms: -7(1 + b) = 5(b + -2) (1 * -7 + b * -7) = 5(b + -2) (-7 + -7b) = 5(b + -2) Reorder the terms: -7 + -7b = 5(-2 + b) -7 + -7b = (-2 * 5 + b * 5) -7 + -7b = (-10 + 5b) Solving -7 + -7b = -10 + 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 = -10 + 5b + -5b Combine like terms: -7b + -5b = -12b -7 + -12b = -10 + 5b + -5b Combine like terms: 5b + -5b = 0 -7 + -12b = -10 + 0 -7 + -12b = -10 Add '7' to each side of the equation. -7 + 7 + -12b = -10 + 7 Combine like terms: -7 + 7 = 0 0 + -12b = -10 + 7 -12b = -10 + 7 Combine like terms: -10 + 7 = -3 -12b = -3 Divide each side by '-12'. b = 0.25 Simplifying b = 0.25
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