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Simplifying 10k + 14b + 2(b + 4) = 0 Reorder the terms: 10k + 14b + 2(4 + b) = 0 10k + 14b + (4 * 2 + b * 2) = 0 10k + 14b + (8 + 2b) = 0 Reorder the terms: 8 + 14b + 2b + 10k = 0 Combine like terms: 14b + 2b = 16b 8 + 16b + 10k = 0 Solving 8 + 16b + 10k = 0 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + 16b + -8 + 10k = 0 + -8 Reorder the terms: 8 + -8 + 16b + 10k = 0 + -8 Combine like terms: 8 + -8 = 0 0 + 16b + 10k = 0 + -8 16b + 10k = 0 + -8 Combine like terms: 0 + -8 = -8 16b + 10k = -8 Add '-10k' to each side of the equation. 16b + 10k + -10k = -8 + -10k Combine like terms: 10k + -10k = 0 16b + 0 = -8 + -10k 16b = -8 + -10k Divide each side by '16'. b = -0.5 + -0.625k Simplifying b = -0.5 + -0.625k
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