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Simplifying 10(d + 5) + -9(d + -2) = 7 Reorder the terms: 10(5 + d) + -9(d + -2) = 7 (5 * 10 + d * 10) + -9(d + -2) = 7 (50 + 10d) + -9(d + -2) = 7 Reorder the terms: 50 + 10d + -9(-2 + d) = 7 50 + 10d + (-2 * -9 + d * -9) = 7 50 + 10d + (18 + -9d) = 7 Reorder the terms: 50 + 18 + 10d + -9d = 7 Combine like terms: 50 + 18 = 68 68 + 10d + -9d = 7 Combine like terms: 10d + -9d = 1d 68 + 1d = 7 Solving 68 + 1d = 7 Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-68' to each side of the equation. 68 + -68 + 1d = 7 + -68 Combine like terms: 68 + -68 = 0 0 + 1d = 7 + -68 1d = 7 + -68 Combine like terms: 7 + -68 = -61 1d = -61 Divide each side by '1'. d = -61 Simplifying d = -61
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