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Simplifying 6(3b + -1(6 + -6(2b + -6))) = 0 Reorder the terms: 6(3b + -1(6 + -6(-6 + 2b))) = 0 6(3b + -1(6 + (-6 * -6 + 2b * -6))) = 0 6(3b + -1(6 + (36 + -12b))) = 0 Combine like terms: 6 + 36 = 42 6(3b + -1(42 + -12b)) = 0 6(3b + (42 * -1 + -12b * -1)) = 0 6(3b + (-42 + 12b)) = 0 Reorder the terms: 6(-42 + 3b + 12b) = 0 Combine like terms: 3b + 12b = 15b 6(-42 + 15b) = 0 (-42 * 6 + 15b * 6) = 0 (-252 + 90b) = 0 Solving -252 + 90b = 0 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '252' to each side of the equation. -252 + 252 + 90b = 0 + 252 Combine like terms: -252 + 252 = 0 0 + 90b = 0 + 252 90b = 0 + 252 Combine like terms: 0 + 252 = 252 90b = 252 Divide each side by '90'. b = 2.8 Simplifying b = 2.8
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