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Simplifying (11b + -1) + -5(2b + 3) = 4 Reorder the terms: (-1 + 11b) + -5(2b + 3) = 4 Remove parenthesis around (-1 + 11b) -1 + 11b + -5(2b + 3) = 4 Reorder the terms: -1 + 11b + -5(3 + 2b) = 4 -1 + 11b + (3 * -5 + 2b * -5) = 4 -1 + 11b + (-15 + -10b) = 4 Reorder the terms: -1 + -15 + 11b + -10b = 4 Combine like terms: -1 + -15 = -16 -16 + 11b + -10b = 4 Combine like terms: 11b + -10b = 1b -16 + 1b = 4 Solving -16 + 1b = 4 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '16' to each side of the equation. -16 + 16 + 1b = 4 + 16 Combine like terms: -16 + 16 = 0 0 + 1b = 4 + 16 1b = 4 + 16 Combine like terms: 4 + 16 = 20 1b = 20 Divide each side by '1'. b = 20 Simplifying b = 20
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