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Simplifying 8 + -4d = 3(d + 12) Reorder the terms: 8 + -4d = 3(12 + d) 8 + -4d = (12 * 3 + d * 3) 8 + -4d = (36 + 3d) Solving 8 + -4d = 36 + 3d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-3d' to each side of the equation. 8 + -4d + -3d = 36 + 3d + -3d Combine like terms: -4d + -3d = -7d 8 + -7d = 36 + 3d + -3d Combine like terms: 3d + -3d = 0 8 + -7d = 36 + 0 8 + -7d = 36 Add '-8' to each side of the equation. 8 + -8 + -7d = 36 + -8 Combine like terms: 8 + -8 = 0 0 + -7d = 36 + -8 -7d = 36 + -8 Combine like terms: 36 + -8 = 28 -7d = 28 Divide each side by '-7'. d = -4 Simplifying d = -4
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