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Simplifying 5(9b + -4) + -1[3(4b + -2) + 3] = 0 Reorder the terms: 5(-4 + 9b) + -1[3(4b + -2) + 3] = 0 (-4 * 5 + 9b * 5) + -1[3(4b + -2) + 3] = 0 (-20 + 45b) + -1[3(4b + -2) + 3] = 0 Reorder the terms: -20 + 45b + -1[3(-2 + 4b) + 3] = 0 -20 + 45b + -1[(-2 * 3 + 4b * 3) + 3] = 0 -20 + 45b + -1[(-6 + 12b) + 3] = 0 Reorder the terms: -20 + 45b + -1[-6 + 3 + 12b] = 0 Combine like terms: -6 + 3 = -3 -20 + 45b + -1[-3 + 12b] = 0 -20 + 45b + [-3 * -1 + 12b * -1] = 0 -20 + 45b + [3 + -12b] = 0 Reorder the terms: -20 + 3 + 45b + -12b = 0 Combine like terms: -20 + 3 = -17 -17 + 45b + -12b = 0 Combine like terms: 45b + -12b = 33b -17 + 33b = 0 Solving -17 + 33b = 0 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '17' to each side of the equation. -17 + 17 + 33b = 0 + 17 Combine like terms: -17 + 17 = 0 0 + 33b = 0 + 17 33b = 0 + 17 Combine like terms: 0 + 17 = 17 33b = 17 Divide each side by '33'. b = 0.5151515152 Simplifying b = 0.5151515152
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