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Simplifying (21b + -8) + -5(4b + 1) = -4 Reorder the terms: (-8 + 21b) + -5(4b + 1) = -4 Remove parenthesis around (-8 + 21b) -8 + 21b + -5(4b + 1) = -4 Reorder the terms: -8 + 21b + -5(1 + 4b) = -4 -8 + 21b + (1 * -5 + 4b * -5) = -4 -8 + 21b + (-5 + -20b) = -4 Reorder the terms: -8 + -5 + 21b + -20b = -4 Combine like terms: -8 + -5 = -13 -13 + 21b + -20b = -4 Combine like terms: 21b + -20b = 1b -13 + 1b = -4 Solving -13 + 1b = -4 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 = -4 + 13 Combine like terms: -13 + 13 = 0 0 + 1b = -4 + 13 1b = -4 + 13 Combine like terms: -4 + 13 = 9 1b = 9 Divide each side by '1'. b = 9 Simplifying b = 9
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