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Simplifying 3d + -6 = -1d + 30 Reorder the terms: -6 + 3d = -1d + 30 Reorder the terms: -6 + 3d = 30 + -1d Solving -6 + 3d = 30 + -1d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add 'd' to each side of the equation. -6 + 3d + d = 30 + -1d + d Combine like terms: 3d + d = 4d -6 + 4d = 30 + -1d + d Combine like terms: -1d + d = 0 -6 + 4d = 30 + 0 -6 + 4d = 30 Add '6' to each side of the equation. -6 + 6 + 4d = 30 + 6 Combine like terms: -6 + 6 = 0 0 + 4d = 30 + 6 4d = 30 + 6 Combine like terms: 30 + 6 = 36 4d = 36 Divide each side by '4'. d = 9 Simplifying d = 9
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