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