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Simplifying 14d + -16 + -9 = 19 + 3(9d + 20) Reorder the terms: -16 + -9 + 14d = 19 + 3(9d + 20) Combine like terms: -16 + -9 = -25 -25 + 14d = 19 + 3(9d + 20) Reorder the terms: -25 + 14d = 19 + 3(20 + 9d) -25 + 14d = 19 + (20 * 3 + 9d * 3) -25 + 14d = 19 + (60 + 27d) Combine like terms: 19 + 60 = 79 -25 + 14d = 79 + 27d Solving -25 + 14d = 79 + 27d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-27d' to each side of the equation. -25 + 14d + -27d = 79 + 27d + -27d Combine like terms: 14d + -27d = -13d -25 + -13d = 79 + 27d + -27d Combine like terms: 27d + -27d = 0 -25 + -13d = 79 + 0 -25 + -13d = 79 Add '25' to each side of the equation. -25 + 25 + -13d = 79 + 25 Combine like terms: -25 + 25 = 0 0 + -13d = 79 + 25 -13d = 79 + 25 Combine like terms: 79 + 25 = 104 -13d = 104 Divide each side by '-13'. d = -8 Simplifying d = -8
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