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Simplifying 4d + 12 = -10d + -18 + 19d Reorder the terms: 12 + 4d = -10d + -18 + 19d Reorder the terms: 12 + 4d = -18 + -10d + 19d Combine like terms: -10d + 19d = 9d 12 + 4d = -18 + 9d Solving 12 + 4d = -18 + 9d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-9d' to each side of the equation. 12 + 4d + -9d = -18 + 9d + -9d Combine like terms: 4d + -9d = -5d 12 + -5d = -18 + 9d + -9d Combine like terms: 9d + -9d = 0 12 + -5d = -18 + 0 12 + -5d = -18 Add '-12' to each side of the equation. 12 + -12 + -5d = -18 + -12 Combine like terms: 12 + -12 = 0 0 + -5d = -18 + -12 -5d = -18 + -12 Combine like terms: -18 + -12 = -30 -5d = -30 Divide each side by '-5'. d = 6 Simplifying d = 6
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