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Simplifying -40 + -1b = 7(6 + 5b) + 5b -40 + -1b = (6 * 7 + 5b * 7) + 5b -40 + -1b = (42 + 35b) + 5b Combine like terms: 35b + 5b = 40b -40 + -1b = 42 + 40b Solving -40 + -1b = 42 + 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 + -1b + -40b = 42 + 40b + -40b Combine like terms: -1b + -40b = -41b -40 + -41b = 42 + 40b + -40b Combine like terms: 40b + -40b = 0 -40 + -41b = 42 + 0 -40 + -41b = 42 Add '40' to each side of the equation. -40 + 40 + -41b = 42 + 40 Combine like terms: -40 + 40 = 0 0 + -41b = 42 + 40 -41b = 42 + 40 Combine like terms: 42 + 40 = 82 -41b = 82 Divide each side by '-41'. b = -2 Simplifying b = -2
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