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Simplifying 1 + -5(b + -7) = -2 + -1b Reorder the terms: 1 + -5(-7 + b) = -2 + -1b 1 + (-7 * -5 + b * -5) = -2 + -1b 1 + (35 + -5b) = -2 + -1b Combine like terms: 1 + 35 = 36 36 + -5b = -2 + -1b Solving 36 + -5b = -2 + -1b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add 'b' to each side of the equation. 36 + -5b + b = -2 + -1b + b Combine like terms: -5b + b = -4b 36 + -4b = -2 + -1b + b Combine like terms: -1b + b = 0 36 + -4b = -2 + 0 36 + -4b = -2 Add '-36' to each side of the equation. 36 + -36 + -4b = -2 + -36 Combine like terms: 36 + -36 = 0 0 + -4b = -2 + -36 -4b = -2 + -36 Combine like terms: -2 + -36 = -38 -4b = -38 Divide each side by '-4'. b = 9.5 Simplifying b = 9.5
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