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Simplifying 109 = -36 + -8(b + -4) Reorder the terms: 109 = -36 + -8(-4 + b) 109 = -36 + (-4 * -8 + b * -8) 109 = -36 + (32 + -8b) Combine like terms: -36 + 32 = -4 109 = -4 + -8b Solving 109 = -4 + -8b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '8b' to each side of the equation. 109 + 8b = -4 + -8b + 8b Combine like terms: -8b + 8b = 0 109 + 8b = -4 + 0 109 + 8b = -4 Add '-109' to each side of the equation. 109 + -109 + 8b = -4 + -109 Combine like terms: 109 + -109 = 0 0 + 8b = -4 + -109 8b = -4 + -109 Combine like terms: -4 + -109 = -113 8b = -113 Divide each side by '8'. b = -14.125 Simplifying b = -14.125
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