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Simplifying -18d + 14d + 13 = -9(-16d + 15) Reorder the terms: 13 + -18d + 14d = -9(-16d + 15) Combine like terms: -18d + 14d = -4d 13 + -4d = -9(-16d + 15) Reorder the terms: 13 + -4d = -9(15 + -16d) 13 + -4d = (15 * -9 + -16d * -9) 13 + -4d = (-135 + 144d) Solving 13 + -4d = -135 + 144d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-144d' to each side of the equation. 13 + -4d + -144d = -135 + 144d + -144d Combine like terms: -4d + -144d = -148d 13 + -148d = -135 + 144d + -144d Combine like terms: 144d + -144d = 0 13 + -148d = -135 + 0 13 + -148d = -135 Add '-13' to each side of the equation. 13 + -13 + -148d = -135 + -13 Combine like terms: 13 + -13 = 0 0 + -148d = -135 + -13 -148d = -135 + -13 Combine like terms: -135 + -13 = -148 -148d = -148 Divide each side by '-148'. d = 1 Simplifying d = 1
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