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Simplifying 16.5 + 6d = -3.5(3d + 5) Reorder the terms: 16.5 + 6d = -3.5(5 + 3d) 16.5 + 6d = (5 * -3.5 + 3d * -3.5) 16.5 + 6d = (-17.5 + -10.5d) Solving 16.5 + 6d = -17.5 + -10.5d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '10.5d' to each side of the equation. 16.5 + 6d + 10.5d = -17.5 + -10.5d + 10.5d Combine like terms: 6d + 10.5d = 16.5d 16.5 + 16.5d = -17.5 + -10.5d + 10.5d Combine like terms: -10.5d + 10.5d = 0.0 16.5 + 16.5d = -17.5 + 0.0 16.5 + 16.5d = -17.5 Add '-16.5' to each side of the equation. 16.5 + -16.5 + 16.5d = -17.5 + -16.5 Combine like terms: 16.5 + -16.5 = 0.0 0.0 + 16.5d = -17.5 + -16.5 16.5d = -17.5 + -16.5 Combine like terms: -17.5 + -16.5 = -34 16.5d = -34 Divide each side by '16.5'. d = -2.060606061 Simplifying d = -2.060606061
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