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Simplifying 3(d + 6) + 5(d + -2) = -16 Reorder the terms: 3(6 + d) + 5(d + -2) = -16 (6 * 3 + d * 3) + 5(d + -2) = -16 (18 + 3d) + 5(d + -2) = -16 Reorder the terms: 18 + 3d + 5(-2 + d) = -16 18 + 3d + (-2 * 5 + d * 5) = -16 18 + 3d + (-10 + 5d) = -16 Reorder the terms: 18 + -10 + 3d + 5d = -16 Combine like terms: 18 + -10 = 8 8 + 3d + 5d = -16 Combine like terms: 3d + 5d = 8d 8 + 8d = -16 Solving 8 + 8d = -16 Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + 8d = -16 + -8 Combine like terms: 8 + -8 = 0 0 + 8d = -16 + -8 8d = -16 + -8 Combine like terms: -16 + -8 = -24 8d = -24 Divide each side by '8'. d = -3 Simplifying d = -3
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