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Simplifying 40 + 6b = -5(1 + 8b) + -1 40 + 6b = (1 * -5 + 8b * -5) + -1 40 + 6b = (-5 + -40b) + -1 Reorder the terms: 40 + 6b = -5 + -1 + -40b Combine like terms: -5 + -1 = -6 40 + 6b = -6 + -40b Solving 40 + 6b = -6 + -40b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '40b' to each side of the equation. 40 + 6b + 40b = -6 + -40b + 40b Combine like terms: 6b + 40b = 46b 40 + 46b = -6 + -40b + 40b Combine like terms: -40b + 40b = 0 40 + 46b = -6 + 0 40 + 46b = -6 Add '-40' to each side of the equation. 40 + -40 + 46b = -6 + -40 Combine like terms: 40 + -40 = 0 0 + 46b = -6 + -40 46b = -6 + -40 Combine like terms: -6 + -40 = -46 46b = -46 Divide each side by '46'. b = -1 Simplifying b = -1
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