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Simplifying -6 = -2(3b + 9) + -5(4 + -26) Reorder the terms: -6 = -2(9 + 3b) + -5(4 + -26) -6 = (9 * -2 + 3b * -2) + -5(4 + -26) -6 = (-18 + -6b) + -5(4 + -26) Combine like terms: 4 + -26 = -22 -6 = -18 + -6b + -5(-22) Multiply -5 * -22 -6 = -18 + -6b + 110 Reorder the terms: -6 = -18 + 110 + -6b Combine like terms: -18 + 110 = 92 -6 = 92 + -6b Solving -6 = 92 + -6b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '6b' to each side of the equation. -6 + 6b = 92 + -6b + 6b Combine like terms: -6b + 6b = 0 -6 + 6b = 92 + 0 -6 + 6b = 92 Add '6' to each side of the equation. -6 + 6 + 6b = 92 + 6 Combine like terms: -6 + 6 = 0 0 + 6b = 92 + 6 6b = 92 + 6 Combine like terms: 92 + 6 = 98 6b = 98 Divide each side by '6'. b = 16.33333333 Simplifying b = 16.33333333
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