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Simplifying (21b + -2) + -5(4b + 1) = -6 Reorder the terms: (-2 + 21b) + -5(4b + 1) = -6 Remove parenthesis around (-2 + 21b) -2 + 21b + -5(4b + 1) = -6 Reorder the terms: -2 + 21b + -5(1 + 4b) = -6 -2 + 21b + (1 * -5 + 4b * -5) = -6 -2 + 21b + (-5 + -20b) = -6 Reorder the terms: -2 + -5 + 21b + -20b = -6 Combine like terms: -2 + -5 = -7 -7 + 21b + -20b = -6 Combine like terms: 21b + -20b = 1b -7 + 1b = -6 Solving -7 + 1b = -6 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + 1b = -6 + 7 Combine like terms: -7 + 7 = 0 0 + 1b = -6 + 7 1b = -6 + 7 Combine like terms: -6 + 7 = 1 1b = 1 Divide each side by '1'. b = 1 Simplifying b = 1
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