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Simplifying 12b + -1[9 + -7(5b + -6)] = k Reorder the terms: 12b + -1[9 + -7(-6 + 5b)] = k 12b + -1[9 + (-6 * -7 + 5b * -7)] = k 12b + -1[9 + (42 + -35b)] = k Combine like terms: 9 + 42 = 51 12b + -1[51 + -35b] = k 12b + [51 * -1 + -35b * -1] = k 12b + [-51 + 35b] = k Reorder the terms: -51 + 12b + 35b = k Combine like terms: 12b + 35b = 47b -51 + 47b = k Solving -51 + 47b = k Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '51' to each side of the equation. -51 + 51 + 47b = 51 + k Combine like terms: -51 + 51 = 0 0 + 47b = 51 + k 47b = 51 + k Divide each side by '47'. b = 1.085106383 + 0.02127659574k Simplifying b = 1.085106383 + 0.02127659574k
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