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Simplifying 10d + -6 = 4d + -16 + -3d Reorder the terms: -6 + 10d = 4d + -16 + -3d Reorder the terms: -6 + 10d = -16 + 4d + -3d Combine like terms: 4d + -3d = 1d -6 + 10d = -16 + 1d Solving -6 + 10d = -16 + 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. -6 + 10d + -1d = -16 + 1d + -1d Combine like terms: 10d + -1d = 9d -6 + 9d = -16 + 1d + -1d Combine like terms: 1d + -1d = 0 -6 + 9d = -16 + 0 -6 + 9d = -16 Add '6' to each side of the equation. -6 + 6 + 9d = -16 + 6 Combine like terms: -6 + 6 = 0 0 + 9d = -16 + 6 9d = -16 + 6 Combine like terms: -16 + 6 = -10 9d = -10 Divide each side by '9'. d = -1.111111111 Simplifying d = -1.111111111
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