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Simplifying 10d + -6 = 7d + -15 Reorder the terms: -6 + 10d = 7d + -15 Reorder the terms: -6 + 10d = -15 + 7d Solving -6 + 10d = -15 + 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. -6 + 10d + -7d = -15 + 7d + -7d Combine like terms: 10d + -7d = 3d -6 + 3d = -15 + 7d + -7d Combine like terms: 7d + -7d = 0 -6 + 3d = -15 + 0 -6 + 3d = -15 Add '6' to each side of the equation. -6 + 6 + 3d = -15 + 6 Combine like terms: -6 + 6 = 0 0 + 3d = -15 + 6 3d = -15 + 6 Combine like terms: -15 + 6 = -9 3d = -9 Divide each side by '3'. d = -3 Simplifying d = -3
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