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Simplifying -8(5 + 2b) = -31 + -7b (5 * -8 + 2b * -8) = -31 + -7b (-40 + -16b) = -31 + -7b Solving -40 + -16b = -31 + -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. -40 + -16b + 7b = -31 + -7b + 7b Combine like terms: -16b + 7b = -9b -40 + -9b = -31 + -7b + 7b Combine like terms: -7b + 7b = 0 -40 + -9b = -31 + 0 -40 + -9b = -31 Add '40' to each side of the equation. -40 + 40 + -9b = -31 + 40 Combine like terms: -40 + 40 = 0 0 + -9b = -31 + 40 -9b = -31 + 40 Combine like terms: -31 + 40 = 9 -9b = 9 Divide each side by '-9'. b = -1 Simplifying b = -1
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