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Simplifying 10d + -7 = 4d + -15 + -3d Reorder the terms: -7 + 10d = 4d + -15 + -3d Reorder the terms: -7 + 10d = -15 + 4d + -3d Combine like terms: 4d + -3d = 1d -7 + 10d = -15 + 1d Solving -7 + 10d = -15 + 1d 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. -7 + 10d + -1d = -15 + 1d + -1d Combine like terms: 10d + -1d = 9d -7 + 9d = -15 + 1d + -1d Combine like terms: 1d + -1d = 0 -7 + 9d = -15 + 0 -7 + 9d = -15 Add '7' to each side of the equation. -7 + 7 + 9d = -15 + 7 Combine like terms: -7 + 7 = 0 0 + 9d = -15 + 7 9d = -15 + 7 Combine like terms: -15 + 7 = -8 9d = -8 Divide each side by '9'. d = -0.8888888889 Simplifying d = -0.8888888889
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