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Simplifying (21b + -2) + -5(4b + 4) = -6 Reorder the terms: (-2 + 21b) + -5(4b + 4) = -6 Remove parenthesis around (-2 + 21b) -2 + 21b + -5(4b + 4) = -6 Reorder the terms: -2 + 21b + -5(4 + 4b) = -6 -2 + 21b + (4 * -5 + 4b * -5) = -6 -2 + 21b + (-20 + -20b) = -6 Reorder the terms: -2 + -20 + 21b + -20b = -6 Combine like terms: -2 + -20 = -22 -22 + 21b + -20b = -6 Combine like terms: 21b + -20b = 1b -22 + 1b = -6 Solving -22 + 1b = -6 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '22' to each side of the equation. -22 + 22 + 1b = -6 + 22 Combine like terms: -22 + 22 = 0 0 + 1b = -6 + 22 1b = -6 + 22 Combine like terms: -6 + 22 = 16 1b = 16 Divide each side by '1'. b = 16 Simplifying b = 16
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