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Simplifying 4d + -5d + (-3) + -1(-9) + -7d = 0 4d + -5d + -3 + -1(-9) + -7d = 0 Multiply -1 * -9 4d + -5d + -3 + 9 + -7d = 0 Reorder the terms: -3 + 9 + 4d + -5d + -7d = 0 Combine like terms: -3 + 9 = 6 6 + 4d + -5d + -7d = 0 Combine like terms: 4d + -5d = -1d 6 + -1d + -7d = 0 Combine like terms: -1d + -7d = -8d 6 + -8d = 0 Solving 6 + -8d = 0 Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + -8d = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -8d = 0 + -6 -8d = 0 + -6 Combine like terms: 0 + -6 = -6 -8d = -6 Divide each side by '-8'. d = 0.75 Simplifying d = 0.75
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