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Simplifying -6 = -2(3b + 9) + -5(4 + -2b) Reorder the terms: -6 = -2(9 + 3b) + -5(4 + -2b) -6 = (9 * -2 + 3b * -2) + -5(4 + -2b) -6 = (-18 + -6b) + -5(4 + -2b) -6 = -18 + -6b + (4 * -5 + -2b * -5) -6 = -18 + -6b + (-20 + 10b) Reorder the terms: -6 = -18 + -20 + -6b + 10b Combine like terms: -18 + -20 = -38 -6 = -38 + -6b + 10b Combine like terms: -6b + 10b = 4b -6 = -38 + 4b Solving -6 = -38 + 4b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-4b' to each side of the equation. -6 + -4b = -38 + 4b + -4b Combine like terms: 4b + -4b = 0 -6 + -4b = -38 + 0 -6 + -4b = -38 Add '6' to each side of the equation. -6 + 6 + -4b = -38 + 6 Combine like terms: -6 + 6 = 0 0 + -4b = -38 + 6 -4b = -38 + 6 Combine like terms: -38 + 6 = -32 -4b = -32 Divide each side by '-4'. b = 8 Simplifying b = 8
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