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Simplifying -4b + 8c + 12 + -8b + -2c + 6 = 0 Reorder the terms: 12 + 6 + -4b + -8b + 8c + -2c = 0 Combine like terms: 12 + 6 = 18 18 + -4b + -8b + 8c + -2c = 0 Combine like terms: -4b + -8b = -12b 18 + -12b + 8c + -2c = 0 Combine like terms: 8c + -2c = 6c 18 + -12b + 6c = 0 Solving 18 + -12b + 6c = 0 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-18' to each side of the equation. 18 + -12b + -18 + 6c = 0 + -18 Reorder the terms: 18 + -18 + -12b + 6c = 0 + -18 Combine like terms: 18 + -18 = 0 0 + -12b + 6c = 0 + -18 -12b + 6c = 0 + -18 Combine like terms: 0 + -18 = -18 -12b + 6c = -18 Add '-6c' to each side of the equation. -12b + 6c + -6c = -18 + -6c Combine like terms: 6c + -6c = 0 -12b + 0 = -18 + -6c -12b = -18 + -6c Divide each side by '-12'. b = 1.5 + 0.5c Simplifying b = 1.5 + 0.5c
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