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Simplifying -14d + -16 = -2(d + 8) + -12 Reorder the terms: -16 + -14d = -2(d + 8) + -12 Reorder the terms: -16 + -14d = -2(8 + d) + -12 -16 + -14d = (8 * -2 + d * -2) + -12 -16 + -14d = (-16 + -2d) + -12 Reorder the terms: -16 + -14d = -16 + -12 + -2d Combine like terms: -16 + -12 = -28 -16 + -14d = -28 + -2d Solving -16 + -14d = -28 + -2d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '2d' to each side of the equation. -16 + -14d + 2d = -28 + -2d + 2d Combine like terms: -14d + 2d = -12d -16 + -12d = -28 + -2d + 2d Combine like terms: -2d + 2d = 0 -16 + -12d = -28 + 0 -16 + -12d = -28 Add '16' to each side of the equation. -16 + 16 + -12d = -28 + 16 Combine like terms: -16 + 16 = 0 0 + -12d = -28 + 16 -12d = -28 + 16 Combine like terms: -28 + 16 = -12 -12d = -12 Divide each side by '-12'. d = 1 Simplifying d = 1
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