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Simplifying -5(4b + 3) + (21b + -8) = 0 Reorder the terms: -5(3 + 4b) + (21b + -8) = 0 (3 * -5 + 4b * -5) + (21b + -8) = 0 (-15 + -20b) + (21b + -8) = 0 Reorder the terms: -15 + -20b + (-8 + 21b) = 0 Remove parenthesis around (-8 + 21b) -15 + -20b + -8 + 21b = 0 Reorder the terms: -15 + -8 + -20b + 21b = 0 Combine like terms: -15 + -8 = -23 -23 + -20b + 21b = 0 Combine like terms: -20b + 21b = 1b -23 + 1b = 0 Solving -23 + 1b = 0 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 = 0 + 23 Combine like terms: -23 + 23 = 0 0 + 1b = 0 + 23 1b = 0 + 23 Combine like terms: 0 + 23 = 23 1b = 23 Divide each side by '1'. b = 23 Simplifying b = 23
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