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Simplifying 8 + -1(5D + -2) = 19 + -2D Reorder the terms: 8 + -1(-2 + 5D) = 19 + -2D 8 + (-2 * -1 + 5D * -1) = 19 + -2D 8 + (2 + -5D) = 19 + -2D Combine like terms: 8 + 2 = 10 10 + -5D = 19 + -2D Solving 10 + -5D = 19 + -2D Solving for variable 'D'. Move all terms containing D to the left, all other terms to the right. Add '2D' to each side of the equation. 10 + -5D + 2D = 19 + -2D + 2D Combine like terms: -5D + 2D = -3D 10 + -3D = 19 + -2D + 2D Combine like terms: -2D + 2D = 0 10 + -3D = 19 + 0 10 + -3D = 19 Add '-10' to each side of the equation. 10 + -10 + -3D = 19 + -10 Combine like terms: 10 + -10 = 0 0 + -3D = 19 + -10 -3D = 19 + -10 Combine like terms: 19 + -10 = 9 -3D = 9 Divide each side by '-3'. D = -3 Simplifying D = -3
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