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Simplifying 5 + -0.8(d + -18) = 0.4(12d + -18) Reorder the terms: 5 + -0.8(-18 + d) = 0.4(12d + -18) 5 + (-18 * -0.8 + d * -0.8) = 0.4(12d + -18) 5 + (14.4 + -0.8d) = 0.4(12d + -18) Combine like terms: 5 + 14.4 = 19.4 19.4 + -0.8d = 0.4(12d + -18) Reorder the terms: 19.4 + -0.8d = 0.4(-18 + 12d) 19.4 + -0.8d = (-18 * 0.4 + 12d * 0.4) 19.4 + -0.8d = (-7.2 + 4.8d) Solving 19.4 + -0.8d = -7.2 + 4.8d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-4.8d' to each side of the equation. 19.4 + -0.8d + -4.8d = -7.2 + 4.8d + -4.8d Combine like terms: -0.8d + -4.8d = -5.6d 19.4 + -5.6d = -7.2 + 4.8d + -4.8d Combine like terms: 4.8d + -4.8d = 0.0 19.4 + -5.6d = -7.2 + 0.0 19.4 + -5.6d = -7.2 Add '-19.4' to each side of the equation. 19.4 + -19.4 + -5.6d = -7.2 + -19.4 Combine like terms: 19.4 + -19.4 = 0.0 0.0 + -5.6d = -7.2 + -19.4 -5.6d = -7.2 + -19.4 Combine like terms: -7.2 + -19.4 = -26.6 -5.6d = -26.6 Divide each side by '-5.6'. d = 4.75 Simplifying d = 4.75
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