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Simplifying (21b + -5) + -5(4b + 3) = -3 Reorder the terms: (-5 + 21b) + -5(4b + 3) = -3 Remove parenthesis around (-5 + 21b) -5 + 21b + -5(4b + 3) = -3 Reorder the terms: -5 + 21b + -5(3 + 4b) = -3 -5 + 21b + (3 * -5 + 4b * -5) = -3 -5 + 21b + (-15 + -20b) = -3 Reorder the terms: -5 + -15 + 21b + -20b = -3 Combine like terms: -5 + -15 = -20 -20 + 21b + -20b = -3 Combine like terms: 21b + -20b = 1b -20 + 1b = -3 Solving -20 + 1b = -3 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '20' to each side of the equation. -20 + 20 + 1b = -3 + 20 Combine like terms: -20 + 20 = 0 0 + 1b = -3 + 20 1b = -3 + 20 Combine like terms: -3 + 20 = 17 1b = 17 Divide each side by '1'. b = 17 Simplifying b = 17
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