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Simplifying 5b + 11 = 5b + -1(1 + 4b) Reorder the terms: 11 + 5b = 5b + -1(1 + 4b) 11 + 5b = 5b + (1 * -1 + 4b * -1) 11 + 5b = 5b + (-1 + -4b) Reorder the terms: 11 + 5b = -1 + 5b + -4b Combine like terms: 5b + -4b = 1b 11 + 5b = -1 + 1b Solving 11 + 5b = -1 + 1b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-1b' to each side of the equation. 11 + 5b + -1b = -1 + 1b + -1b Combine like terms: 5b + -1b = 4b 11 + 4b = -1 + 1b + -1b Combine like terms: 1b + -1b = 0 11 + 4b = -1 + 0 11 + 4b = -1 Add '-11' to each side of the equation. 11 + -11 + 4b = -1 + -11 Combine like terms: 11 + -11 = 0 0 + 4b = -1 + -11 4b = -1 + -11 Combine like terms: -1 + -11 = -12 4b = -12 Divide each side by '4'. b = -3 Simplifying b = -3
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