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Simplifying 4 + 2[d + -5(d + -3)] = 0 Reorder the terms: 4 + 2[d + -5(-3 + d)] = 0 4 + 2[d + (-3 * -5 + d * -5)] = 0 4 + 2[d + (15 + -5d)] = 0 Reorder the terms: 4 + 2[15 + d + -5d] = 0 Combine like terms: d + -5d = -4d 4 + 2[15 + -4d] = 0 4 + [15 * 2 + -4d * 2] = 0 4 + [30 + -8d] = 0 Combine like terms: 4 + 30 = 34 34 + -8d = 0 Solving 34 + -8d = 0 Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-34' to each side of the equation. 34 + -34 + -8d = 0 + -34 Combine like terms: 34 + -34 = 0 0 + -8d = 0 + -34 -8d = 0 + -34 Combine like terms: 0 + -34 = -34 -8d = -34 Divide each side by '-8'. d = 4.25 Simplifying d = 4.25
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