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Simplifying (21b + -8) + -5(4b + 3) = -2 Reorder the terms: (-8 + 21b) + -5(4b + 3) = -2 Remove parenthesis around (-8 + 21b) -8 + 21b + -5(4b + 3) = -2 Reorder the terms: -8 + 21b + -5(3 + 4b) = -2 -8 + 21b + (3 * -5 + 4b * -5) = -2 -8 + 21b + (-15 + -20b) = -2 Reorder the terms: -8 + -15 + 21b + -20b = -2 Combine like terms: -8 + -15 = -23 -23 + 21b + -20b = -2 Combine like terms: 21b + -20b = 1b -23 + 1b = -2 Solving -23 + 1b = -2 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '23' to each side of the equation. -23 + 23 + 1b = -2 + 23 Combine like terms: -23 + 23 = 0 0 + 1b = -2 + 23 1b = -2 + 23 Combine like terms: -2 + 23 = 21 1b = 21 Divide each side by '1'. b = 21 Simplifying b = 21
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