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Simplifying 10d + 7 = 4(9d + 3) Reorder the terms: 7 + 10d = 4(9d + 3) Reorder the terms: 7 + 10d = 4(3 + 9d) 7 + 10d = (3 * 4 + 9d * 4) 7 + 10d = (12 + 36d) Solving 7 + 10d = 12 + 36d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-36d' to each side of the equation. 7 + 10d + -36d = 12 + 36d + -36d Combine like terms: 10d + -36d = -26d 7 + -26d = 12 + 36d + -36d Combine like terms: 36d + -36d = 0 7 + -26d = 12 + 0 7 + -26d = 12 Add '-7' to each side of the equation. 7 + -7 + -26d = 12 + -7 Combine like terms: 7 + -7 = 0 0 + -26d = 12 + -7 -26d = 12 + -7 Combine like terms: 12 + -7 = 5 -26d = 5 Divide each side by '-26'. d = -0.1923076923 Simplifying d = -0.1923076923
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