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Simplifying 4b + -1(b + -1) = 5(b + -11) + 34 Reorder the terms: 4b + -1(-1 + b) = 5(b + -11) + 34 4b + (-1 * -1 + b * -1) = 5(b + -11) + 34 4b + (1 + -1b) = 5(b + -11) + 34 Reorder the terms: 1 + 4b + -1b = 5(b + -11) + 34 Combine like terms: 4b + -1b = 3b 1 + 3b = 5(b + -11) + 34 Reorder the terms: 1 + 3b = 5(-11 + b) + 34 1 + 3b = (-11 * 5 + b * 5) + 34 1 + 3b = (-55 + 5b) + 34 Reorder the terms: 1 + 3b = -55 + 34 + 5b Combine like terms: -55 + 34 = -21 1 + 3b = -21 + 5b Solving 1 + 3b = -21 + 5b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-5b' to each side of the equation. 1 + 3b + -5b = -21 + 5b + -5b Combine like terms: 3b + -5b = -2b 1 + -2b = -21 + 5b + -5b Combine like terms: 5b + -5b = 0 1 + -2b = -21 + 0 1 + -2b = -21 Add '-1' to each side of the equation. 1 + -1 + -2b = -21 + -1 Combine like terms: 1 + -1 = 0 0 + -2b = -21 + -1 -2b = -21 + -1 Combine like terms: -21 + -1 = -22 -2b = -22 Divide each side by '-2'. b = 11 Simplifying b = 11
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