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Simplifying 6[4(3b + -7) + -1(9b + 10)] = 0 Reorder the terms: 6[4(-7 + 3b) + -1(9b + 10)] = 0 6[(-7 * 4 + 3b * 4) + -1(9b + 10)] = 0 6[(-28 + 12b) + -1(9b + 10)] = 0 Reorder the terms: 6[-28 + 12b + -1(10 + 9b)] = 0 6[-28 + 12b + (10 * -1 + 9b * -1)] = 0 6[-28 + 12b + (-10 + -9b)] = 0 Reorder the terms: 6[-28 + -10 + 12b + -9b] = 0 Combine like terms: -28 + -10 = -38 6[-38 + 12b + -9b] = 0 Combine like terms: 12b + -9b = 3b 6[-38 + 3b] = 0 [-38 * 6 + 3b * 6] = 0 [-228 + 18b] = 0 Solving -228 + 18b = 0 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '228' to each side of the equation. -228 + 228 + 18b = 0 + 228 Combine like terms: -228 + 228 = 0 0 + 18b = 0 + 228 18b = 0 + 228 Combine like terms: 0 + 228 = 228 18b = 228 Divide each side by '18'. b = 12.66666667 Simplifying b = 12.66666667
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