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Simplifying 0.9d + -19 + d = 2d + -10 + -0.4d Reorder the terms: -19 + 0.9d + d = 2d + -10 + -0.4d Combine like terms: 0.9d + d = 1.9d -19 + 1.9d = 2d + -10 + -0.4d Reorder the terms: -19 + 1.9d = -10 + 2d + -0.4d Combine like terms: 2d + -0.4d = 1.6d -19 + 1.9d = -10 + 1.6d Solving -19 + 1.9d = -10 + 1.6d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-1.6d' to each side of the equation. -19 + 1.9d + -1.6d = -10 + 1.6d + -1.6d Combine like terms: 1.9d + -1.6d = 0.3d -19 + 0.3d = -10 + 1.6d + -1.6d Combine like terms: 1.6d + -1.6d = 0.0 -19 + 0.3d = -10 + 0.0 -19 + 0.3d = -10 Add '19' to each side of the equation. -19 + 19 + 0.3d = -10 + 19 Combine like terms: -19 + 19 = 0 0 + 0.3d = -10 + 19 0.3d = -10 + 19 Combine like terms: -10 + 19 = 9 0.3d = 9 Divide each side by '0.3'. d = 30 Simplifying d = 30
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