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Simplifying 6d + -12 + -1d = 10d + 53 Reorder the terms: -12 + 6d + -1d = 10d + 53 Combine like terms: 6d + -1d = 5d -12 + 5d = 10d + 53 Reorder the terms: -12 + 5d = 53 + 10d Solving -12 + 5d = 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 + 5d + -10d = 53 + 10d + -10d Combine like terms: 5d + -10d = -5d -12 + -5d = 53 + 10d + -10d Combine like terms: 10d + -10d = 0 -12 + -5d = 53 + 0 -12 + -5d = 53 Add '12' to each side of the equation. -12 + 12 + -5d = 53 + 12 Combine like terms: -12 + 12 = 0 0 + -5d = 53 + 12 -5d = 53 + 12 Combine like terms: 53 + 12 = 65 -5d = 65 Divide each side by '-5'. d = -13 Simplifying d = -13
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