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Simplifying 8 + -0.4(d + -16) = 0.7(3d + -16) Reorder the terms: 8 + -0.4(-16 + d) = 0.7(3d + -16) 8 + (-16 * -0.4 + d * -0.4) = 0.7(3d + -16) 8 + (6.4 + -0.4d) = 0.7(3d + -16) Combine like terms: 8 + 6.4 = 14.4 14.4 + -0.4d = 0.7(3d + -16) Reorder the terms: 14.4 + -0.4d = 0.7(-16 + 3d) 14.4 + -0.4d = (-16 * 0.7 + 3d * 0.7) 14.4 + -0.4d = (-11.2 + 2.1d) Solving 14.4 + -0.4d = -11.2 + 2.1d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-2.1d' to each side of the equation. 14.4 + -0.4d + -2.1d = -11.2 + 2.1d + -2.1d Combine like terms: -0.4d + -2.1d = -2.5d 14.4 + -2.5d = -11.2 + 2.1d + -2.1d Combine like terms: 2.1d + -2.1d = 0.0 14.4 + -2.5d = -11.2 + 0.0 14.4 + -2.5d = -11.2 Add '-14.4' to each side of the equation. 14.4 + -14.4 + -2.5d = -11.2 + -14.4 Combine like terms: 14.4 + -14.4 = 0.0 0.0 + -2.5d = -11.2 + -14.4 -2.5d = -11.2 + -14.4 Combine like terms: -11.2 + -14.4 = -25.6 -2.5d = -25.6 Divide each side by '-2.5'. d = 10.24 Simplifying d = 10.24
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