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Simplifying -13d + 16 = -11 + 12 + -12d Reorder the terms: 16 + -13d = -11 + 12 + -12d Combine like terms: -11 + 12 = 1 16 + -13d = 1 + -12d Solving 16 + -13d = 1 + -12d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '12d' to each side of the equation. 16 + -13d + 12d = 1 + -12d + 12d Combine like terms: -13d + 12d = -1d 16 + -1d = 1 + -12d + 12d Combine like terms: -12d + 12d = 0 16 + -1d = 1 + 0 16 + -1d = 1 Add '-16' to each side of the equation. 16 + -16 + -1d = 1 + -16 Combine like terms: 16 + -16 = 0 0 + -1d = 1 + -16 -1d = 1 + -16 Combine like terms: 1 + -16 = -15 -1d = -15 Divide each side by '-1'. d = 15 Simplifying d = 15
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