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Simplifying 40 + 5b = 6(b + 7) + -1 Reorder the terms: 40 + 5b = 6(7 + b) + -1 40 + 5b = (7 * 6 + b * 6) + -1 40 + 5b = (42 + 6b) + -1 Reorder the terms: 40 + 5b = 42 + -1 + 6b Combine like terms: 42 + -1 = 41 40 + 5b = 41 + 6b Solving 40 + 5b = 41 + 6b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-6b' to each side of the equation. 40 + 5b + -6b = 41 + 6b + -6b Combine like terms: 5b + -6b = -1b 40 + -1b = 41 + 6b + -6b Combine like terms: 6b + -6b = 0 40 + -1b = 41 + 0 40 + -1b = 41 Add '-40' to each side of the equation. 40 + -40 + -1b = 41 + -40 Combine like terms: 40 + -40 = 0 0 + -1b = 41 + -40 -1b = 41 + -40 Combine like terms: 41 + -40 = 1 -1b = 1 Divide each side by '-1'. b = -1 Simplifying b = -1
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