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Simplifying 0.3(d + 1.2) + d = -0.6(d + 0.3) Reorder the terms: 0.3(1.2 + d) + d = -0.6(d + 0.3) (1.2 * 0.3 + d * 0.3) + d = -0.6(d + 0.3) (0.36 + 0.3d) + d = -0.6(d + 0.3) Combine like terms: 0.3d + d = 1.3d 0.36 + 1.3d = -0.6(d + 0.3) Reorder the terms: 0.36 + 1.3d = -0.6(0.3 + d) 0.36 + 1.3d = (0.3 * -0.6 + d * -0.6) 0.36 + 1.3d = (-0.18 + -0.6d) Solving 0.36 + 1.3d = -0.18 + -0.6d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '0.6d' to each side of the equation. 0.36 + 1.3d + 0.6d = -0.18 + -0.6d + 0.6d Combine like terms: 1.3d + 0.6d = 1.9d 0.36 + 1.9d = -0.18 + -0.6d + 0.6d Combine like terms: -0.6d + 0.6d = 0.0 0.36 + 1.9d = -0.18 + 0.0 0.36 + 1.9d = -0.18 Add '-0.36' to each side of the equation. 0.36 + -0.36 + 1.9d = -0.18 + -0.36 Combine like terms: 0.36 + -0.36 = 0.00 0.00 + 1.9d = -0.18 + -0.36 1.9d = -0.18 + -0.36 Combine like terms: -0.18 + -0.36 = -0.54 1.9d = -0.54 Divide each side by '1.9'. d = -0.2842105263 Simplifying d = -0.2842105263
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