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Simplifying 5(b + -3) + 2b = 39 + 3b Reorder the terms: 5(-3 + b) + 2b = 39 + 3b (-3 * 5 + b * 5) + 2b = 39 + 3b (-15 + 5b) + 2b = 39 + 3b Combine like terms: 5b + 2b = 7b -15 + 7b = 39 + 3b Solving -15 + 7b = 39 + 3b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-3b' to each side of the equation. -15 + 7b + -3b = 39 + 3b + -3b Combine like terms: 7b + -3b = 4b -15 + 4b = 39 + 3b + -3b Combine like terms: 3b + -3b = 0 -15 + 4b = 39 + 0 -15 + 4b = 39 Add '15' to each side of the equation. -15 + 15 + 4b = 39 + 15 Combine like terms: -15 + 15 = 0 0 + 4b = 39 + 15 4b = 39 + 15 Combine like terms: 39 + 15 = 54 4b = 54 Divide each side by '4'. b = 13.5 Simplifying b = 13.5
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