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Simplifying -14d + -16 = 2(d + 8) + -12d Reorder the terms: -16 + -14d = 2(d + 8) + -12d Reorder the terms: -16 + -14d = 2(8 + d) + -12d -16 + -14d = (8 * 2 + d * 2) + -12d -16 + -14d = (16 + 2d) + -12d Combine like terms: 2d + -12d = -10d -16 + -14d = 16 + -10d Solving -16 + -14d = 16 + -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. -16 + -14d + 10d = 16 + -10d + 10d Combine like terms: -14d + 10d = -4d -16 + -4d = 16 + -10d + 10d Combine like terms: -10d + 10d = 0 -16 + -4d = 16 + 0 -16 + -4d = 16 Add '16' to each side of the equation. -16 + 16 + -4d = 16 + 16 Combine like terms: -16 + 16 = 0 0 + -4d = 16 + 16 -4d = 16 + 16 Combine like terms: 16 + 16 = 32 -4d = 32 Divide each side by '-4'. d = -8 Simplifying d = -8
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