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Simplifying -5(4b + 2) + (21b + -5) = 0 Reorder the terms: -5(2 + 4b) + (21b + -5) = 0 (2 * -5 + 4b * -5) + (21b + -5) = 0 (-10 + -20b) + (21b + -5) = 0 Reorder the terms: -10 + -20b + (-5 + 21b) = 0 Remove parenthesis around (-5 + 21b) -10 + -20b + -5 + 21b = 0 Reorder the terms: -10 + -5 + -20b + 21b = 0 Combine like terms: -10 + -5 = -15 -15 + -20b + 21b = 0 Combine like terms: -20b + 21b = 1b -15 + 1b = 0 Solving -15 + 1b = 0 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '15' to each side of the equation. -15 + 15 + 1b = 0 + 15 Combine like terms: -15 + 15 = 0 0 + 1b = 0 + 15 1b = 0 + 15 Combine like terms: 0 + 15 = 15 1b = 15 Divide each side by '1'. b = 15 Simplifying b = 15
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