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Simplifying 5(1 + 4b) + -3 = -118 (1 * 5 + 4b * 5) + -3 = -118 (5 + 20b) + -3 = -118 Reorder the terms: 5 + -3 + 20b = -118 Combine like terms: 5 + -3 = 2 2 + 20b = -118 Solving 2 + 20b = -118 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + 20b = -118 + -2 Combine like terms: 2 + -2 = 0 0 + 20b = -118 + -2 20b = -118 + -2 Combine like terms: -118 + -2 = -120 20b = -120 Divide each side by '20'. b = -6 Simplifying b = -6
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