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Simplifying 9b + -4 = 1 + 6(b + 11) Reorder the terms: -4 + 9b = 1 + 6(b + 11) Reorder the terms: -4 + 9b = 1 + 6(11 + b) -4 + 9b = 1 + (11 * 6 + b * 6) -4 + 9b = 1 + (66 + 6b) Combine like terms: 1 + 66 = 67 -4 + 9b = 67 + 6b Solving -4 + 9b = 67 + 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. -4 + 9b + -6b = 67 + 6b + -6b Combine like terms: 9b + -6b = 3b -4 + 3b = 67 + 6b + -6b Combine like terms: 6b + -6b = 0 -4 + 3b = 67 + 0 -4 + 3b = 67 Add '4' to each side of the equation. -4 + 4 + 3b = 67 + 4 Combine like terms: -4 + 4 = 0 0 + 3b = 67 + 4 3b = 67 + 4 Combine like terms: 67 + 4 = 71 3b = 71 Divide each side by '3'. b = 23.66666667 Simplifying b = 23.66666667
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