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