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Simplifying 7(4d + 6) = -16 + -5d Reorder the terms: 7(6 + 4d) = -16 + -5d (6 * 7 + 4d * 7) = -16 + -5d (42 + 28d) = -16 + -5d Solving 42 + 28d = -16 + -5d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '5d' to each side of the equation. 42 + 28d + 5d = -16 + -5d + 5d Combine like terms: 28d + 5d = 33d 42 + 33d = -16 + -5d + 5d Combine like terms: -5d + 5d = 0 42 + 33d = -16 + 0 42 + 33d = -16 Add '-42' to each side of the equation. 42 + -42 + 33d = -16 + -42 Combine like terms: 42 + -42 = 0 0 + 33d = -16 + -42 33d = -16 + -42 Combine like terms: -16 + -42 = -58 33d = -58 Divide each side by '33'. d = -1.757575758 Simplifying d = -1.757575758
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