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Simplifying 19 + 9d = -2(8d + -6) Reorder the terms: 19 + 9d = -2(-6 + 8d) 19 + 9d = (-6 * -2 + 8d * -2) 19 + 9d = (12 + -16d) Solving 19 + 9d = 12 + -16d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '16d' to each side of the equation. 19 + 9d + 16d = 12 + -16d + 16d Combine like terms: 9d + 16d = 25d 19 + 25d = 12 + -16d + 16d Combine like terms: -16d + 16d = 0 19 + 25d = 12 + 0 19 + 25d = 12 Add '-19' to each side of the equation. 19 + -19 + 25d = 12 + -19 Combine like terms: 19 + -19 = 0 0 + 25d = 12 + -19 25d = 12 + -19 Combine like terms: 12 + -19 = -7 25d = -7 Divide each side by '25'. d = -0.28 Simplifying d = -0.28
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