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Simplifying (21b + -1) + -5(4b + 3) = -7 Reorder the terms: (-1 + 21b) + -5(4b + 3) = -7 Remove parenthesis around (-1 + 21b) -1 + 21b + -5(4b + 3) = -7 Reorder the terms: -1 + 21b + -5(3 + 4b) = -7 -1 + 21b + (3 * -5 + 4b * -5) = -7 -1 + 21b + (-15 + -20b) = -7 Reorder the terms: -1 + -15 + 21b + -20b = -7 Combine like terms: -1 + -15 = -16 -16 + 21b + -20b = -7 Combine like terms: 21b + -20b = 1b -16 + 1b = -7 Solving -16 + 1b = -7 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '16' to each side of the equation. -16 + 16 + 1b = -7 + 16 Combine like terms: -16 + 16 = 0 0 + 1b = -7 + 16 1b = -7 + 16 Combine like terms: -7 + 16 = 9 1b = 9 Divide each side by '1'. b = 9 Simplifying b = 9
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