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Simplifying 6 + -3d = 10 + -5(2 + -1d) 6 + -3d = 10 + (2 * -5 + -1d * -5) 6 + -3d = 10 + (-10 + 5d) Combine like terms: 10 + -10 = 0 6 + -3d = 0 + 5d 6 + -3d = 5d Solving 6 + -3d = 5d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-5d' to each side of the equation. 6 + -3d + -5d = 5d + -5d Combine like terms: -3d + -5d = -8d 6 + -8d = 5d + -5d Combine like terms: 5d + -5d = 0 6 + -8d = 0 Add '-6' to each side of the equation. 6 + -6 + -8d = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -8d = 0 + -6 -8d = 0 + -6 Combine like terms: 0 + -6 = -6 -8d = -6 Divide each side by '-8'. d = 0.75 Simplifying d = 0.75
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