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Simplifying 3[d + -5(2d + -3)] + -8 = 12 Reorder the terms: 3[d + -5(-3 + 2d)] + -8 = 12 3[d + (-3 * -5 + 2d * -5)] + -8 = 12 3[d + (15 + -10d)] + -8 = 12 Reorder the terms: 3[15 + d + -10d] + -8 = 12 Combine like terms: d + -10d = -9d 3[15 + -9d] + -8 = 12 [15 * 3 + -9d * 3] + -8 = 12 [45 + -27d] + -8 = 12 Reorder the terms: 45 + -8 + -27d = 12 Combine like terms: 45 + -8 = 37 37 + -27d = 12 Solving 37 + -27d = 12 Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-37' to each side of the equation. 37 + -37 + -27d = 12 + -37 Combine like terms: 37 + -37 = 0 0 + -27d = 12 + -37 -27d = 12 + -37 Combine like terms: 12 + -37 = -25 -27d = -25 Divide each side by '-27'. d = 0.9259259259 Simplifying d = 0.9259259259
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