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Simplifying -6 = -2(3b + 9) + -1(4 + -2b) Reorder the terms: -6 = -2(9 + 3b) + -1(4 + -2b) -6 = (9 * -2 + 3b * -2) + -1(4 + -2b) -6 = (-18 + -6b) + -1(4 + -2b) -6 = -18 + -6b + (4 * -1 + -2b * -1) -6 = -18 + -6b + (-4 + 2b) Reorder the terms: -6 = -18 + -4 + -6b + 2b Combine like terms: -18 + -4 = -22 -6 = -22 + -6b + 2b Combine like terms: -6b + 2b = -4b -6 = -22 + -4b Solving -6 = -22 + -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 = -22 + -4b + 4b Combine like terms: -4b + 4b = 0 -6 + 4b = -22 + 0 -6 + 4b = -22 Add '6' to each side of the equation. -6 + 6 + 4b = -22 + 6 Combine like terms: -6 + 6 = 0 0 + 4b = -22 + 6 4b = -22 + 6 Combine like terms: -22 + 6 = -16 4b = -16 Divide each side by '4'. b = -4 Simplifying b = -4
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