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Simplifying 8(5b + -9k + 7d) = 0 Reorder the terms: 8(5b + 7d + -9k) = 0 (5b * 8 + 7d * 8 + -9k * 8) = 0 (40b + 56d + -72k) = 0 Solving 40b + 56d + -72k = 0 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-56d' to each side of the equation. 40b + 56d + -56d + -72k = 0 + -56d Combine like terms: 56d + -56d = 0 40b + 0 + -72k = 0 + -56d 40b + -72k = 0 + -56d Remove the zero: 40b + -72k = -56d Add '72k' to each side of the equation. 40b + -72k + 72k = -56d + 72k Combine like terms: -72k + 72k = 0 40b + 0 = -56d + 72k 40b = -56d + 72k Divide each side by '40'. b = -1.4d + 1.8k Simplifying b = -1.4d + 1.8k
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