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Simplifying (21b + -6) + -5(4b + 1) = -5 Reorder the terms: (-6 + 21b) + -5(4b + 1) = -5 Remove parenthesis around (-6 + 21b) -6 + 21b + -5(4b + 1) = -5 Reorder the terms: -6 + 21b + -5(1 + 4b) = -5 -6 + 21b + (1 * -5 + 4b * -5) = -5 -6 + 21b + (-5 + -20b) = -5 Reorder the terms: -6 + -5 + 21b + -20b = -5 Combine like terms: -6 + -5 = -11 -11 + 21b + -20b = -5 Combine like terms: 21b + -20b = 1b -11 + 1b = -5 Solving -11 + 1b = -5 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '11' to each side of the equation. -11 + 11 + 1b = -5 + 11 Combine like terms: -11 + 11 = 0 0 + 1b = -5 + 11 1b = -5 + 11 Combine like terms: -5 + 11 = 6 1b = 6 Divide each side by '1'. b = 6 Simplifying b = 6
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