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Simplifying -5(4b + 2) + (21b + -9) = 0 Reorder the terms: -5(2 + 4b) + (21b + -9) = 0 (2 * -5 + 4b * -5) + (21b + -9) = 0 (-10 + -20b) + (21b + -9) = 0 Reorder the terms: -10 + -20b + (-9 + 21b) = 0 Remove parenthesis around (-9 + 21b) -10 + -20b + -9 + 21b = 0 Reorder the terms: -10 + -9 + -20b + 21b = 0 Combine like terms: -10 + -9 = -19 -19 + -20b + 21b = 0 Combine like terms: -20b + 21b = 1b -19 + 1b = 0 Solving -19 + 1b = 0 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '19' to each side of the equation. -19 + 19 + 1b = 0 + 19 Combine like terms: -19 + 19 = 0 0 + 1b = 0 + 19 1b = 0 + 19 Combine like terms: 0 + 19 = 19 1b = 19 Divide each side by '1'. b = 19 Simplifying b = 19
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