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Simplifying -3 + -8(b + -5) = 40 + -7b Reorder the terms: -3 + -8(-5 + b) = 40 + -7b -3 + (-5 * -8 + b * -8) = 40 + -7b -3 + (40 + -8b) = 40 + -7b Combine like terms: -3 + 40 = 37 37 + -8b = 40 + -7b Solving 37 + -8b = 40 + -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. 37 + -8b + 7b = 40 + -7b + 7b Combine like terms: -8b + 7b = -1b 37 + -1b = 40 + -7b + 7b Combine like terms: -7b + 7b = 0 37 + -1b = 40 + 0 37 + -1b = 40 Add '-37' to each side of the equation. 37 + -37 + -1b = 40 + -37 Combine like terms: 37 + -37 = 0 0 + -1b = 40 + -37 -1b = 40 + -37 Combine like terms: 40 + -37 = 3 -1b = 3 Divide each side by '-1'. b = -3 Simplifying b = -3
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