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Simplifying 4d + -12 = 7d + -48 Reorder the terms: -12 + 4d = 7d + -48 Reorder the terms: -12 + 4d = -48 + 7d Solving -12 + 4d = -48 + 7d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-7d' to each side of the equation. -12 + 4d + -7d = -48 + 7d + -7d Combine like terms: 4d + -7d = -3d -12 + -3d = -48 + 7d + -7d Combine like terms: 7d + -7d = 0 -12 + -3d = -48 + 0 -12 + -3d = -48 Add '12' to each side of the equation. -12 + 12 + -3d = -48 + 12 Combine like terms: -12 + 12 = 0 0 + -3d = -48 + 12 -3d = -48 + 12 Combine like terms: -48 + 12 = -36 -3d = -36 Divide each side by '-3'. d = 12 Simplifying d = 12
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