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Simplifying -31 + -8b = -7(b + 4) Reorder the terms: -31 + -8b = -7(4 + b) -31 + -8b = (4 * -7 + b * -7) -31 + -8b = (-28 + -7b) Solving -31 + -8b = -28 + -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. -31 + -8b + 7b = -28 + -7b + 7b Combine like terms: -8b + 7b = -1b -31 + -1b = -28 + -7b + 7b Combine like terms: -7b + 7b = 0 -31 + -1b = -28 + 0 -31 + -1b = -28 Add '31' to each side of the equation. -31 + 31 + -1b = -28 + 31 Combine like terms: -31 + 31 = 0 0 + -1b = -28 + 31 -1b = -28 + 31 Combine like terms: -28 + 31 = 3 -1b = 3 Divide each side by '-1'. b = -3 Simplifying b = -3
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