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Simplifying 7d + -2d + 5d + -9 = 2d Reorder the terms: -9 + 7d + -2d + 5d = 2d Combine like terms: 7d + -2d = 5d -9 + 5d + 5d = 2d Combine like terms: 5d + 5d = 10d -9 + 10d = 2d Solving -9 + 10d = 2d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-2d' to each side of the equation. -9 + 10d + -2d = 2d + -2d Combine like terms: 10d + -2d = 8d -9 + 8d = 2d + -2d Combine like terms: 2d + -2d = 0 -9 + 8d = 0 Add '9' to each side of the equation. -9 + 9 + 8d = 0 + 9 Combine like terms: -9 + 9 = 0 0 + 8d = 0 + 9 8d = 0 + 9 Combine like terms: 0 + 9 = 9 8d = 9 Divide each side by '8'. d = 1.125 Simplifying d = 1.125
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