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Simplifying 12b + -1[9 + -7(5b + -6)] = 0 Reorder the terms: 12b + -1[9 + -7(-6 + 5b)] = 0 12b + -1[9 + (-6 * -7 + 5b * -7)] = 0 12b + -1[9 + (42 + -35b)] = 0 Combine like terms: 9 + 42 = 51 12b + -1[51 + -35b] = 0 12b + [51 * -1 + -35b * -1] = 0 12b + [-51 + 35b] = 0 Reorder the terms: -51 + 12b + 35b = 0 Combine like terms: 12b + 35b = 47b -51 + 47b = 0 Solving -51 + 47b = 0 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 = 0 + 51 Combine like terms: -51 + 51 = 0 0 + 47b = 0 + 51 47b = 0 + 51 Combine like terms: 0 + 51 = 51 47b = 51 Divide each side by '47'. b = 1.085106383 Simplifying b = 1.085106383
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