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Simplifying 4d + -6 + -10d + 1 = 6 + -3d + 4 Reorder the terms: -6 + 1 + 4d + -10d = 6 + -3d + 4 Combine like terms: -6 + 1 = -5 -5 + 4d + -10d = 6 + -3d + 4 Combine like terms: 4d + -10d = -6d -5 + -6d = 6 + -3d + 4 Reorder the terms: -5 + -6d = 6 + 4 + -3d Combine like terms: 6 + 4 = 10 -5 + -6d = 10 + -3d Solving -5 + -6d = 10 + -3d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '3d' to each side of the equation. -5 + -6d + 3d = 10 + -3d + 3d Combine like terms: -6d + 3d = -3d -5 + -3d = 10 + -3d + 3d Combine like terms: -3d + 3d = 0 -5 + -3d = 10 + 0 -5 + -3d = 10 Add '5' to each side of the equation. -5 + 5 + -3d = 10 + 5 Combine like terms: -5 + 5 = 0 0 + -3d = 10 + 5 -3d = 10 + 5 Combine like terms: 10 + 5 = 15 -3d = 15 Divide each side by '-3'. d = -5 Simplifying d = -5
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