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Simplifying -118 = 2b + 4(2 + -5b) -118 = 2b + (2 * 4 + -5b * 4) -118 = 2b + (8 + -20b) Reorder the terms: -118 = 8 + 2b + -20b Combine like terms: 2b + -20b = -18b -118 = 8 + -18b Solving -118 = 8 + -18b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '18b' to each side of the equation. -118 + 18b = 8 + -18b + 18b Combine like terms: -18b + 18b = 0 -118 + 18b = 8 + 0 -118 + 18b = 8 Add '118' to each side of the equation. -118 + 118 + 18b = 8 + 118 Combine like terms: -118 + 118 = 0 0 + 18b = 8 + 118 18b = 8 + 118 Combine like terms: 8 + 118 = 126 18b = 126 Divide each side by '18'. b = 7 Simplifying b = 7
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