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Simplifying 5d + -12 + -1d = 9d + 53 + d Reorder the terms: -12 + 5d + -1d = 9d + 53 + d Combine like terms: 5d + -1d = 4d -12 + 4d = 9d + 53 + d Reorder the terms: -12 + 4d = 53 + 9d + d Combine like terms: 9d + d = 10d -12 + 4d = 53 + 10d Solving -12 + 4d = 53 + 10d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-10d' to each side of the equation. -12 + 4d + -10d = 53 + 10d + -10d Combine like terms: 4d + -10d = -6d -12 + -6d = 53 + 10d + -10d Combine like terms: 10d + -10d = 0 -12 + -6d = 53 + 0 -12 + -6d = 53 Add '12' to each side of the equation. -12 + 12 + -6d = 53 + 12 Combine like terms: -12 + 12 = 0 0 + -6d = 53 + 12 -6d = 53 + 12 Combine like terms: 53 + 12 = 65 -6d = 65 Divide each side by '-6'. d = -10.83333333 Simplifying d = -10.83333333
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