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Simplifying (11b + -6) + -5(2b + 3) = -5 Reorder the terms: (-6 + 11b) + -5(2b + 3) = -5 Remove parenthesis around (-6 + 11b) -6 + 11b + -5(2b + 3) = -5 Reorder the terms: -6 + 11b + -5(3 + 2b) = -5 -6 + 11b + (3 * -5 + 2b * -5) = -5 -6 + 11b + (-15 + -10b) = -5 Reorder the terms: -6 + -15 + 11b + -10b = -5 Combine like terms: -6 + -15 = -21 -21 + 11b + -10b = -5 Combine like terms: 11b + -10b = 1b -21 + 1b = -5 Solving -21 + 1b = -5 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '21' to each side of the equation. -21 + 21 + 1b = -5 + 21 Combine like terms: -21 + 21 = 0 0 + 1b = -5 + 21 1b = -5 + 21 Combine like terms: -5 + 21 = 16 1b = 16 Divide each side by '1'. b = 16 Simplifying b = 16
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