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Simplifying (-4b + 15 + -7k) + -1(6 + 4b + -2k) = 0 Reorder the terms: (15 + -4b + -7k) + -1(6 + 4b + -2k) = 0 Remove parenthesis around (15 + -4b + -7k) 15 + -4b + -7k + -1(6 + 4b + -2k) = 0 15 + -4b + -7k + (6 * -1 + 4b * -1 + -2k * -1) = 0 15 + -4b + -7k + (-6 + -4b + 2k) = 0 Reorder the terms: 15 + -6 + -4b + -4b + -7k + 2k = 0 Combine like terms: 15 + -6 = 9 9 + -4b + -4b + -7k + 2k = 0 Combine like terms: -4b + -4b = -8b 9 + -8b + -7k + 2k = 0 Combine like terms: -7k + 2k = -5k 9 + -8b + -5k = 0 Solving 9 + -8b + -5k = 0 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -8b + -9 + -5k = 0 + -9 Reorder the terms: 9 + -9 + -8b + -5k = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -8b + -5k = 0 + -9 -8b + -5k = 0 + -9 Combine like terms: 0 + -9 = -9 -8b + -5k = -9 Add '5k' to each side of the equation. -8b + -5k + 5k = -9 + 5k Combine like terms: -5k + 5k = 0 -8b + 0 = -9 + 5k -8b = -9 + 5k Divide each side by '-8'. b = 1.125 + -0.625k Simplifying b = 1.125 + -0.625k
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