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Simplifying (21b + -9) + -5(4b + 1) = -3 Reorder the terms: (-9 + 21b) + -5(4b + 1) = -3 Remove parenthesis around (-9 + 21b) -9 + 21b + -5(4b + 1) = -3 Reorder the terms: -9 + 21b + -5(1 + 4b) = -3 -9 + 21b + (1 * -5 + 4b * -5) = -3 -9 + 21b + (-5 + -20b) = -3 Reorder the terms: -9 + -5 + 21b + -20b = -3 Combine like terms: -9 + -5 = -14 -14 + 21b + -20b = -3 Combine like terms: 21b + -20b = 1b -14 + 1b = -3 Solving -14 + 1b = -3 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '14' to each side of the equation. -14 + 14 + 1b = -3 + 14 Combine like terms: -14 + 14 = 0 0 + 1b = -3 + 14 1b = -3 + 14 Combine like terms: -3 + 14 = 11 1b = 11 Divide each side by '1'. b = 11 Simplifying b = 11
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