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Simplifying -13d + -6 = -12d + 18 + -14 Reorder the terms: -6 + -13d = -12d + 18 + -14 Reorder the terms: -6 + -13d = 18 + -14 + -12d Combine like terms: 18 + -14 = 4 -6 + -13d = 4 + -12d Solving -6 + -13d = 4 + -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. -6 + -13d + 12d = 4 + -12d + 12d Combine like terms: -13d + 12d = -1d -6 + -1d = 4 + -12d + 12d Combine like terms: -12d + 12d = 0 -6 + -1d = 4 + 0 -6 + -1d = 4 Add '6' to each side of the equation. -6 + 6 + -1d = 4 + 6 Combine like terms: -6 + 6 = 0 0 + -1d = 4 + 6 -1d = 4 + 6 Combine like terms: 4 + 6 = 10 -1d = 10 Divide each side by '-1'. d = -10 Simplifying d = -10
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