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Simplifying -65(b + -10) + -55(b + -16) = -13b + -73b Reorder the terms: -65(-10 + b) + -55(b + -16) = -13b + -73b (-10 * -65 + b * -65) + -55(b + -16) = -13b + -73b (650 + -65b) + -55(b + -16) = -13b + -73b Reorder the terms: 650 + -65b + -55(-16 + b) = -13b + -73b 650 + -65b + (-16 * -55 + b * -55) = -13b + -73b 650 + -65b + (880 + -55b) = -13b + -73b Reorder the terms: 650 + 880 + -65b + -55b = -13b + -73b Combine like terms: 650 + 880 = 1530 1530 + -65b + -55b = -13b + -73b Combine like terms: -65b + -55b = -120b 1530 + -120b = -13b + -73b Combine like terms: -13b + -73b = -86b 1530 + -120b = -86b Solving 1530 + -120b = -86b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '86b' to each side of the equation. 1530 + -120b + 86b = -86b + 86b Combine like terms: -120b + 86b = -34b 1530 + -34b = -86b + 86b Combine like terms: -86b + 86b = 0 1530 + -34b = 0 Add '-1530' to each side of the equation. 1530 + -1530 + -34b = 0 + -1530 Combine like terms: 1530 + -1530 = 0 0 + -34b = 0 + -1530 -34b = 0 + -1530 Combine like terms: 0 + -1530 = -1530 -34b = -1530 Divide each side by '-34'. b = 45 Simplifying b = 45
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