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Simplifying 5.4d + -2.3 + 3(d + -4) = 16.67 Reorder the terms: 5.4d + -2.3 + 3(-4 + d) = 16.67 5.4d + -2.3 + (-4 * 3 + d * 3) = 16.67 5.4d + -2.3 + (-12 + 3d) = 16.67 Reorder the terms: -2.3 + -12 + 5.4d + 3d = 16.67 Combine like terms: -2.3 + -12 = -14.3 -14.3 + 5.4d + 3d = 16.67 Combine like terms: 5.4d + 3d = 8.4d -14.3 + 8.4d = 16.67 Solving -14.3 + 8.4d = 16.67 Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '14.3' to each side of the equation. -14.3 + 14.3 + 8.4d = 16.67 + 14.3 Combine like terms: -14.3 + 14.3 = 0.0 0.0 + 8.4d = 16.67 + 14.3 8.4d = 16.67 + 14.3 Combine like terms: 16.67 + 14.3 = 30.97 8.4d = 30.97 Divide each side by '8.4'. d = 3.686904762 Simplifying d = 3.686904762
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