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Simplifying -10b + -1[-3b + [12b + -1(-13b + 4)]] = 0 Reorder the terms: -10b + -1[-3b + [12b + -1(4 + -13b)]] = 0 -10b + -1[-3b + [12b + (4 * -1 + -13b * -1)]] = 0 -10b + -1[-3b + [12b + (-4 + 13b)]] = 0 Reorder the terms: -10b + -1[-3b + [-4 + 12b + 13b]] = 0 Combine like terms: 12b + 13b = 25b -10b + -1[-3b + [-4 + 25b]] = 0 Remove brackets around [-4 + 25b] -10b + -1[-3b + -4 + 25b] = 0 Reorder the terms: -10b + -1[-4 + -3b + 25b] = 0 Combine like terms: -3b + 25b = 22b -10b + -1[-4 + 22b] = 0 -10b + [-4 * -1 + 22b * -1] = 0 -10b + [4 + -22b] = 0 Reorder the terms: 4 + -10b + -22b = 0 Combine like terms: -10b + -22b = -32b 4 + -32b = 0 Solving 4 + -32b = 0 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -32b = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -32b = 0 + -4 -32b = 0 + -4 Combine like terms: 0 + -4 = -4 -32b = -4 Divide each side by '-32'. b = 0.125 Simplifying b = 0.125
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