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Simplifying -2(b + 4) + 5(5 + -4b) = 61 Reorder the terms: -2(4 + b) + 5(5 + -4b) = 61 (4 * -2 + b * -2) + 5(5 + -4b) = 61 (-8 + -2b) + 5(5 + -4b) = 61 -8 + -2b + (5 * 5 + -4b * 5) = 61 -8 + -2b + (25 + -20b) = 61 Reorder the terms: -8 + 25 + -2b + -20b = 61 Combine like terms: -8 + 25 = 17 17 + -2b + -20b = 61 Combine like terms: -2b + -20b = -22b 17 + -22b = 61 Solving 17 + -22b = 61 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-17' to each side of the equation. 17 + -17 + -22b = 61 + -17 Combine like terms: 17 + -17 = 0 0 + -22b = 61 + -17 -22b = 61 + -17 Combine like terms: 61 + -17 = 44 -22b = 44 Divide each side by '-22'. b = -2 Simplifying b = -2
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