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Simplifying 6d + -12 + -1d = 6d + 53 + d Reorder the terms: -12 + 6d + -1d = 6d + 53 + d Combine like terms: 6d + -1d = 5d -12 + 5d = 6d + 53 + d Reorder the terms: -12 + 5d = 53 + 6d + d Combine like terms: 6d + d = 7d -12 + 5d = 53 + 7d Solving -12 + 5d = 53 + 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 + 5d + -7d = 53 + 7d + -7d Combine like terms: 5d + -7d = -2d -12 + -2d = 53 + 7d + -7d Combine like terms: 7d + -7d = 0 -12 + -2d = 53 + 0 -12 + -2d = 53 Add '12' to each side of the equation. -12 + 12 + -2d = 53 + 12 Combine like terms: -12 + 12 = 0 0 + -2d = 53 + 12 -2d = 53 + 12 Combine like terms: 53 + 12 = 65 -2d = 65 Divide each side by '-2'. d = -32.5 Simplifying d = -32.5
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