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Simplifying -5(4b + 3) + (21b + 7) = 0 Reorder the terms: -5(3 + 4b) + (21b + 7) = 0 (3 * -5 + 4b * -5) + (21b + 7) = 0 (-15 + -20b) + (21b + 7) = 0 Reorder the terms: -15 + -20b + (7 + 21b) = 0 Remove parenthesis around (7 + 21b) -15 + -20b + 7 + 21b = 0 Reorder the terms: -15 + 7 + -20b + 21b = 0 Combine like terms: -15 + 7 = -8 -8 + -20b + 21b = 0 Combine like terms: -20b + 21b = 1b -8 + 1b = 0 Solving -8 + 1b = 0 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + 1b = 0 + 8 Combine like terms: -8 + 8 = 0 0 + 1b = 0 + 8 1b = 0 + 8 Combine like terms: 0 + 8 = 8 1b = 8 Divide each side by '1'. b = 8 Simplifying b = 8
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