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Simplifying -5(6 + -4b) + -2(4 + -5b) = -68 (6 * -5 + -4b * -5) + -2(4 + -5b) = -68 (-30 + 20b) + -2(4 + -5b) = -68 -30 + 20b + (4 * -2 + -5b * -2) = -68 -30 + 20b + (-8 + 10b) = -68 Reorder the terms: -30 + -8 + 20b + 10b = -68 Combine like terms: -30 + -8 = -38 -38 + 20b + 10b = -68 Combine like terms: 20b + 10b = 30b -38 + 30b = -68 Solving -38 + 30b = -68 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '38' to each side of the equation. -38 + 38 + 30b = -68 + 38 Combine like terms: -38 + 38 = 0 0 + 30b = -68 + 38 30b = -68 + 38 Combine like terms: -68 + 38 = -30 30b = -30 Divide each side by '30'. b = -1 Simplifying b = -1
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