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Simplifying -4(b + 7) = 38 + 7b Reorder the terms: -4(7 + b) = 38 + 7b (7 * -4 + b * -4) = 38 + 7b (-28 + -4b) = 38 + 7b Solving -28 + -4b = 38 + 7b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-7b' to each side of the equation. -28 + -4b + -7b = 38 + 7b + -7b Combine like terms: -4b + -7b = -11b -28 + -11b = 38 + 7b + -7b Combine like terms: 7b + -7b = 0 -28 + -11b = 38 + 0 -28 + -11b = 38 Add '28' to each side of the equation. -28 + 28 + -11b = 38 + 28 Combine like terms: -28 + 28 = 0 0 + -11b = 38 + 28 -11b = 38 + 28 Combine like terms: 38 + 28 = 66 -11b = 66 Divide each side by '-11'. b = -6 Simplifying b = -6
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