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Simplifying -4b + -3(b + -6) = -31 Reorder the terms: -4b + -3(-6 + b) = -31 -4b + (-6 * -3 + b * -3) = -31 -4b + (18 + -3b) = -31 Reorder the terms: 18 + -4b + -3b = -31 Combine like terms: -4b + -3b = -7b 18 + -7b = -31 Solving 18 + -7b = -31 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-18' to each side of the equation. 18 + -18 + -7b = -31 + -18 Combine like terms: 18 + -18 = 0 0 + -7b = -31 + -18 -7b = -31 + -18 Combine like terms: -31 + -18 = -49 -7b = -49 Divide each side by '-7'. b = 7 Simplifying b = 7
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