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Simplifying -14d + -6 = 2(d + 3) + -12d Reorder the terms: -6 + -14d = 2(d + 3) + -12d Reorder the terms: -6 + -14d = 2(3 + d) + -12d -6 + -14d = (3 * 2 + d * 2) + -12d -6 + -14d = (6 + 2d) + -12d Combine like terms: 2d + -12d = -10d -6 + -14d = 6 + -10d Solving -6 + -14d = 6 + -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. -6 + -14d + 10d = 6 + -10d + 10d Combine like terms: -14d + 10d = -4d -6 + -4d = 6 + -10d + 10d Combine like terms: -10d + 10d = 0 -6 + -4d = 6 + 0 -6 + -4d = 6 Add '6' to each side of the equation. -6 + 6 + -4d = 6 + 6 Combine like terms: -6 + 6 = 0 0 + -4d = 6 + 6 -4d = 6 + 6 Combine like terms: 6 + 6 = 12 -4d = 12 Divide each side by '-4'. d = -3 Simplifying d = -3
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