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Simplifying 2(10 + -3b + -1c) + 2b + 4c = 14 (10 * 2 + -3b * 2 + -1c * 2) + 2b + 4c = 14 (20 + -6b + -2c) + 2b + 4c = 14 Reorder the terms: 20 + -6b + 2b + -2c + 4c = 14 Combine like terms: -6b + 2b = -4b 20 + -4b + -2c + 4c = 14 Combine like terms: -2c + 4c = 2c 20 + -4b + 2c = 14 Solving 20 + -4b + 2c = 14 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-20' to each side of the equation. 20 + -4b + -20 + 2c = 14 + -20 Reorder the terms: 20 + -20 + -4b + 2c = 14 + -20 Combine like terms: 20 + -20 = 0 0 + -4b + 2c = 14 + -20 -4b + 2c = 14 + -20 Combine like terms: 14 + -20 = -6 -4b + 2c = -6 Add '-2c' to each side of the equation. -4b + 2c + -2c = -6 + -2c Combine like terms: 2c + -2c = 0 -4b + 0 = -6 + -2c -4b = -6 + -2c Divide each side by '-4'. b = 1.5 + 0.5c Simplifying b = 1.5 + 0.5c
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