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Simplifying 10b + 98 + 16c + 30b + -6c = 0 Reorder the terms: 98 + 10b + 30b + 16c + -6c = 0 Combine like terms: 10b + 30b = 40b 98 + 40b + 16c + -6c = 0 Combine like terms: 16c + -6c = 10c 98 + 40b + 10c = 0 Solving 98 + 40b + 10c = 0 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-98' to each side of the equation. 98 + 40b + -98 + 10c = 0 + -98 Reorder the terms: 98 + -98 + 40b + 10c = 0 + -98 Combine like terms: 98 + -98 = 0 0 + 40b + 10c = 0 + -98 40b + 10c = 0 + -98 Combine like terms: 0 + -98 = -98 40b + 10c = -98 Add '-10c' to each side of the equation. 40b + 10c + -10c = -98 + -10c Combine like terms: 10c + -10c = 0 40b + 0 = -98 + -10c 40b = -98 + -10c Divide each side by '40'. b = -2.45 + -0.25c Simplifying b = -2.45 + -0.25c
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