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Simplifying 9(d + -4) + 5d + 8 = d Reorder the terms: 9(-4 + d) + 5d + 8 = d (-4 * 9 + d * 9) + 5d + 8 = d (-36 + 9d) + 5d + 8 = d Reorder the terms: -36 + 8 + 9d + 5d = d Combine like terms: -36 + 8 = -28 -28 + 9d + 5d = d Combine like terms: 9d + 5d = 14d -28 + 14d = d Solving -28 + 14d = d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-1d' to each side of the equation. -28 + 14d + -1d = d + -1d Combine like terms: 14d + -1d = 13d -28 + 13d = d + -1d Combine like terms: d + -1d = 0 -28 + 13d = 0 Add '28' to each side of the equation. -28 + 28 + 13d = 0 + 28 Combine like terms: -28 + 28 = 0 0 + 13d = 0 + 28 13d = 0 + 28 Combine like terms: 0 + 28 = 28 13d = 28 Divide each side by '13'. d = 2.153846154 Simplifying d = 2.153846154
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