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Simplifying 5(9b + -5) + -1[3(5b + -3) + 2] = 0 Reorder the terms: 5(-5 + 9b) + -1[3(5b + -3) + 2] = 0 (-5 * 5 + 9b * 5) + -1[3(5b + -3) + 2] = 0 (-25 + 45b) + -1[3(5b + -3) + 2] = 0 Reorder the terms: -25 + 45b + -1[3(-3 + 5b) + 2] = 0 -25 + 45b + -1[(-3 * 3 + 5b * 3) + 2] = 0 -25 + 45b + -1[(-9 + 15b) + 2] = 0 Reorder the terms: -25 + 45b + -1[-9 + 2 + 15b] = 0 Combine like terms: -9 + 2 = -7 -25 + 45b + -1[-7 + 15b] = 0 -25 + 45b + [-7 * -1 + 15b * -1] = 0 -25 + 45b + [7 + -15b] = 0 Reorder the terms: -25 + 7 + 45b + -15b = 0 Combine like terms: -25 + 7 = -18 -18 + 45b + -15b = 0 Combine like terms: 45b + -15b = 30b -18 + 30b = 0 Solving -18 + 30b = 0 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '18' to each side of the equation. -18 + 18 + 30b = 0 + 18 Combine like terms: -18 + 18 = 0 0 + 30b = 0 + 18 30b = 0 + 18 Combine like terms: 0 + 18 = 18 30b = 18 Divide each side by '30'. b = 0.6 Simplifying b = 0.6
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