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Simplifying (21b + -1) + -5(4b + 4) = -2 Reorder the terms: (-1 + 21b) + -5(4b + 4) = -2 Remove parenthesis around (-1 + 21b) -1 + 21b + -5(4b + 4) = -2 Reorder the terms: -1 + 21b + -5(4 + 4b) = -2 -1 + 21b + (4 * -5 + 4b * -5) = -2 -1 + 21b + (-20 + -20b) = -2 Reorder the terms: -1 + -20 + 21b + -20b = -2 Combine like terms: -1 + -20 = -21 -21 + 21b + -20b = -2 Combine like terms: 21b + -20b = 1b -21 + 1b = -2 Solving -21 + 1b = -2 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '21' to each side of the equation. -21 + 21 + 1b = -2 + 21 Combine like terms: -21 + 21 = 0 0 + 1b = -2 + 21 1b = -2 + 21 Combine like terms: -2 + 21 = 19 1b = 19 Divide each side by '1'. b = 19 Simplifying b = 19
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