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Simplifying -5d + 19d + -1(-12) = -16 Multiply -1 * -12 -5d + 19d + 12 = -16 Reorder the terms: 12 + -5d + 19d = -16 Combine like terms: -5d + 19d = 14d 12 + 14d = -16 Solving 12 + 14d = -16 Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + 14d = -16 + -12 Combine like terms: 12 + -12 = 0 0 + 14d = -16 + -12 14d = -16 + -12 Combine like terms: -16 + -12 = -28 14d = -28 Divide each side by '14'. d = -2 Simplifying d = -2
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