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Simplifying 3d + -4 + d = 8d + -1(-12) Reorder the terms: -4 + 3d + d = 8d + -1(-12) Combine like terms: 3d + d = 4d -4 + 4d = 8d + -1(-12) Multiply -1 * -12 -4 + 4d = 8d + 12 Reorder the terms: -4 + 4d = 12 + 8d Solving -4 + 4d = 12 + 8d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-8d' to each side of the equation. -4 + 4d + -8d = 12 + 8d + -8d Combine like terms: 4d + -8d = -4d -4 + -4d = 12 + 8d + -8d Combine like terms: 8d + -8d = 0 -4 + -4d = 12 + 0 -4 + -4d = 12 Add '4' to each side of the equation. -4 + 4 + -4d = 12 + 4 Combine like terms: -4 + 4 = 0 0 + -4d = 12 + 4 -4d = 12 + 4 Combine like terms: 12 + 4 = 16 -4d = 16 Divide each side by '-4'. d = -4 Simplifying d = -4
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