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Simplifying 7(b + -3) = 39 + -5b Reorder the terms: 7(-3 + b) = 39 + -5b (-3 * 7 + b * 7) = 39 + -5b (-21 + 7b) = 39 + -5b Solving -21 + 7b = 39 + -5b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '5b' to each side of the equation. -21 + 7b + 5b = 39 + -5b + 5b Combine like terms: 7b + 5b = 12b -21 + 12b = 39 + -5b + 5b Combine like terms: -5b + 5b = 0 -21 + 12b = 39 + 0 -21 + 12b = 39 Add '21' to each side of the equation. -21 + 21 + 12b = 39 + 21 Combine like terms: -21 + 21 = 0 0 + 12b = 39 + 21 12b = 39 + 21 Combine like terms: 39 + 21 = 60 12b = 60 Divide each side by '12'. b = 5 Simplifying b = 5
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