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Simplifying -5(4b + 4) + (21b + -9) = 0 Reorder the terms: -5(4 + 4b) + (21b + -9) = 0 (4 * -5 + 4b * -5) + (21b + -9) = 0 (-20 + -20b) + (21b + -9) = 0 Reorder the terms: -20 + -20b + (-9 + 21b) = 0 Remove parenthesis around (-9 + 21b) -20 + -20b + -9 + 21b = 0 Reorder the terms: -20 + -9 + -20b + 21b = 0 Combine like terms: -20 + -9 = -29 -29 + -20b + 21b = 0 Combine like terms: -20b + 21b = 1b -29 + 1b = 0 Solving -29 + 1b = 0 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '29' to each side of the equation. -29 + 29 + 1b = 0 + 29 Combine like terms: -29 + 29 = 0 0 + 1b = 0 + 29 1b = 0 + 29 Combine like terms: 0 + 29 = 29 1b = 29 Divide each side by '1'. b = 29 Simplifying b = 29
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