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Simplifying -5(4b + 1) + (21b + -8) = 0 Reorder the terms: -5(1 + 4b) + (21b + -8) = 0 (1 * -5 + 4b * -5) + (21b + -8) = 0 (-5 + -20b) + (21b + -8) = 0 Reorder the terms: -5 + -20b + (-8 + 21b) = 0 Remove parenthesis around (-8 + 21b) -5 + -20b + -8 + 21b = 0 Reorder the terms: -5 + -8 + -20b + 21b = 0 Combine like terms: -5 + -8 = -13 -13 + -20b + 21b = 0 Combine like terms: -20b + 21b = 1b -13 + 1b = 0 Solving -13 + 1b = 0 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '13' to each side of the equation. -13 + 13 + 1b = 0 + 13 Combine like terms: -13 + 13 = 0 0 + 1b = 0 + 13 1b = 0 + 13 Combine like terms: 0 + 13 = 13 1b = 13 Divide each side by '1'. b = 13 Simplifying b = 13
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