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Simplifying -14d + -6 = 3(d + 2) + -11d Reorder the terms: -6 + -14d = 3(d + 2) + -11d Reorder the terms: -6 + -14d = 3(2 + d) + -11d -6 + -14d = (2 * 3 + d * 3) + -11d -6 + -14d = (6 + 3d) + -11d Combine like terms: 3d + -11d = -8d -6 + -14d = 6 + -8d Solving -6 + -14d = 6 + -8d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '8d' to each side of the equation. -6 + -14d + 8d = 6 + -8d + 8d Combine like terms: -14d + 8d = -6d -6 + -6d = 6 + -8d + 8d Combine like terms: -8d + 8d = 0 -6 + -6d = 6 + 0 -6 + -6d = 6 Add '6' to each side of the equation. -6 + 6 + -6d = 6 + 6 Combine like terms: -6 + 6 = 0 0 + -6d = 6 + 6 -6d = 6 + 6 Combine like terms: 6 + 6 = 12 -6d = 12 Divide each side by '-6'. d = -2 Simplifying d = -2
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