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Simplifying -7(b + -4) = 38 + -5b Reorder the terms: -7(-4 + b) = 38 + -5b (-4 * -7 + b * -7) = 38 + -5b (28 + -7b) = 38 + -5b Solving 28 + -7b = 38 + -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. 28 + -7b + 5b = 38 + -5b + 5b Combine like terms: -7b + 5b = -2b 28 + -2b = 38 + -5b + 5b Combine like terms: -5b + 5b = 0 28 + -2b = 38 + 0 28 + -2b = 38 Add '-28' to each side of the equation. 28 + -28 + -2b = 38 + -28 Combine like terms: 28 + -28 = 0 0 + -2b = 38 + -28 -2b = 38 + -28 Combine like terms: 38 + -28 = 10 -2b = 10 Divide each side by '-2'. b = -5 Simplifying b = -5
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