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Simplifying 2(10 + -1(x + -1(3b + -2))) = 0 Reorder the terms: 2(10 + -1(x + -1(-2 + 3b))) = 0 2(10 + -1(x + (-2 * -1 + 3b * -1))) = 0 2(10 + -1(x + (2 + -3b))) = 0 Reorder the terms: 2(10 + -1(2 + -3b + x)) = 0 2(10 + (2 * -1 + -3b * -1 + x * -1)) = 0 2(10 + (-2 + 3b + -1x)) = 0 Combine like terms: 10 + -2 = 8 2(8 + 3b + -1x) = 0 (8 * 2 + 3b * 2 + -1x * 2) = 0 (16 + 6b + -2x) = 0 Solving 16 + 6b + -2x = 0 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-16' to each side of the equation. 16 + 6b + -16 + -2x = 0 + -16 Reorder the terms: 16 + -16 + 6b + -2x = 0 + -16 Combine like terms: 16 + -16 = 0 0 + 6b + -2x = 0 + -16 6b + -2x = 0 + -16 Combine like terms: 0 + -16 = -16 6b + -2x = -16 Add '2x' to each side of the equation. 6b + -2x + 2x = -16 + 2x Combine like terms: -2x + 2x = 0 6b + 0 = -16 + 2x 6b = -16 + 2x Divide each side by '6'. b = -2.666666667 + 0.3333333333x Simplifying b = -2.666666667 + 0.3333333333x
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