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Simplifying -3(b + 7) = 4(6 + -2b) Reorder the terms: -3(7 + b) = 4(6 + -2b) (7 * -3 + b * -3) = 4(6 + -2b) (-21 + -3b) = 4(6 + -2b) -21 + -3b = (6 * 4 + -2b * 4) -21 + -3b = (24 + -8b) Solving -21 + -3b = 24 + -8b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '8b' to each side of the equation. -21 + -3b + 8b = 24 + -8b + 8b Combine like terms: -3b + 8b = 5b -21 + 5b = 24 + -8b + 8b Combine like terms: -8b + 8b = 0 -21 + 5b = 24 + 0 -21 + 5b = 24 Add '21' to each side of the equation. -21 + 21 + 5b = 24 + 21 Combine like terms: -21 + 21 = 0 0 + 5b = 24 + 21 5b = 24 + 21 Combine like terms: 24 + 21 = 45 5b = 45 Divide each side by '5'. b = 9 Simplifying b = 9
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