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