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Simplifying 31 = -5 + 4(b + -8) Reorder the terms: 31 = -5 + 4(-8 + b) 31 = -5 + (-8 * 4 + b * 4) 31 = -5 + (-32 + 4b) Combine like terms: -5 + -32 = -37 31 = -37 + 4b Solving 31 = -37 + 4b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-4b' to each side of the equation. 31 + -4b = -37 + 4b + -4b Combine like terms: 4b + -4b = 0 31 + -4b = -37 + 0 31 + -4b = -37 Add '-31' to each side of the equation. 31 + -31 + -4b = -37 + -31 Combine like terms: 31 + -31 = 0 0 + -4b = -37 + -31 -4b = -37 + -31 Combine like terms: -37 + -31 = -68 -4b = -68 Divide each side by '-4'. b = 17 Simplifying b = 17
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