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Simplifying b + 39 = 4 + -1(-5b + 7) Reorder the terms: 39 + b = 4 + -1(-5b + 7) Reorder the terms: 39 + b = 4 + -1(7 + -5b) 39 + b = 4 + (7 * -1 + -5b * -1) 39 + b = 4 + (-7 + 5b) Combine like terms: 4 + -7 = -3 39 + b = -3 + 5b Solving 39 + b = -3 + 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. 39 + b + -5b = -3 + 5b + -5b Combine like terms: b + -5b = -4b 39 + -4b = -3 + 5b + -5b Combine like terms: 5b + -5b = 0 39 + -4b = -3 + 0 39 + -4b = -3 Add '-39' to each side of the equation. 39 + -39 + -4b = -3 + -39 Combine like terms: 39 + -39 = 0 0 + -4b = -3 + -39 -4b = -3 + -39 Combine like terms: -3 + -39 = -42 -4b = -42 Divide each side by '-4'. b = 10.5 Simplifying b = 10.5
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