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Simplifying 6n + -12 + -1d = 9d + 53 + d Reorder the terms: -12 + -1d + 6n = 9d + 53 + d Reorder the terms: -12 + -1d + 6n = 53 + 9d + d Combine like terms: 9d + d = 10d -12 + -1d + 6n = 53 + 10d Solving -12 + -1d + 6n = 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 + -1d + -10d + 6n = 53 + 10d + -10d Combine like terms: -1d + -10d = -11d -12 + -11d + 6n = 53 + 10d + -10d Combine like terms: 10d + -10d = 0 -12 + -11d + 6n = 53 + 0 -12 + -11d + 6n = 53 Add '12' to each side of the equation. -12 + -11d + 12 + 6n = 53 + 12 Reorder the terms: -12 + 12 + -11d + 6n = 53 + 12 Combine like terms: -12 + 12 = 0 0 + -11d + 6n = 53 + 12 -11d + 6n = 53 + 12 Combine like terms: 53 + 12 = 65 -11d + 6n = 65 Add '-6n' to each side of the equation. -11d + 6n + -6n = 65 + -6n Combine like terms: 6n + -6n = 0 -11d + 0 = 65 + -6n -11d = 65 + -6n Divide each side by '-11'. d = -5.909090909 + 0.5454545455n Simplifying d = -5.909090909 + 0.5454545455n
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