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Simplifying (21b + -4) + -5(4b + 4) = -6 Reorder the terms: (-4 + 21b) + -5(4b + 4) = -6 Remove parenthesis around (-4 + 21b) -4 + 21b + -5(4b + 4) = -6 Reorder the terms: -4 + 21b + -5(4 + 4b) = -6 -4 + 21b + (4 * -5 + 4b * -5) = -6 -4 + 21b + (-20 + -20b) = -6 Reorder the terms: -4 + -20 + 21b + -20b = -6 Combine like terms: -4 + -20 = -24 -24 + 21b + -20b = -6 Combine like terms: 21b + -20b = 1b -24 + 1b = -6 Solving -24 + 1b = -6 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '24' to each side of the equation. -24 + 24 + 1b = -6 + 24 Combine like terms: -24 + 24 = 0 0 + 1b = -6 + 24 1b = -6 + 24 Combine like terms: -6 + 24 = 18 1b = 18 Divide each side by '1'. b = 18 Simplifying b = 18
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