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Simplifying 5d + 17.4 = 12(d + -1) Reorder the terms: 17.4 + 5d = 12(d + -1) Reorder the terms: 17.4 + 5d = 12(-1 + d) 17.4 + 5d = (-1 * 12 + d * 12) 17.4 + 5d = (-12 + 12d) Solving 17.4 + 5d = -12 + 12d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-12d' to each side of the equation. 17.4 + 5d + -12d = -12 + 12d + -12d Combine like terms: 5d + -12d = -7d 17.4 + -7d = -12 + 12d + -12d Combine like terms: 12d + -12d = 0 17.4 + -7d = -12 + 0 17.4 + -7d = -12 Add '-17.4' to each side of the equation. 17.4 + -17.4 + -7d = -12 + -17.4 Combine like terms: 17.4 + -17.4 = 0.0 0.0 + -7d = -12 + -17.4 -7d = -12 + -17.4 Combine like terms: -12 + -17.4 = -29.4 -7d = -29.4 Divide each side by '-7'. d = 4.2 Simplifying d = 4.2
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