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Simplifying -238 = -7(6b + 4) Reorder the terms: -238 = -7(4 + 6b) -238 = (4 * -7 + 6b * -7) -238 = (-28 + -42b) Solving -238 = -28 + -42b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '42b' to each side of the equation. -238 + 42b = -28 + -42b + 42b Combine like terms: -42b + 42b = 0 -238 + 42b = -28 + 0 -238 + 42b = -28 Add '238' to each side of the equation. -238 + 238 + 42b = -28 + 238 Combine like terms: -238 + 238 = 0 0 + 42b = -28 + 238 42b = -28 + 238 Combine like terms: -28 + 238 = 210 42b = 210 Divide each side by '42'. b = 5 Simplifying b = 5
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