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Simplifying (21b + -7) + -5(4b + 4) = -5 Reorder the terms: (-7 + 21b) + -5(4b + 4) = -5 Remove parenthesis around (-7 + 21b) -7 + 21b + -5(4b + 4) = -5 Reorder the terms: -7 + 21b + -5(4 + 4b) = -5 -7 + 21b + (4 * -5 + 4b * -5) = -5 -7 + 21b + (-20 + -20b) = -5 Reorder the terms: -7 + -20 + 21b + -20b = -5 Combine like terms: -7 + -20 = -27 -27 + 21b + -20b = -5 Combine like terms: 21b + -20b = 1b -27 + 1b = -5 Solving -27 + 1b = -5 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '27' to each side of the equation. -27 + 27 + 1b = -5 + 27 Combine like terms: -27 + 27 = 0 0 + 1b = -5 + 27 1b = -5 + 27 Combine like terms: -5 + 27 = 22 1b = 22 Divide each side by '1'. b = 22 Simplifying b = 22
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