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Simplifying 0.125d + -3(d + -7) = 5.125d + -3 Reorder the terms: 0.125d + -3(-7 + d) = 5.125d + -3 0.125d + (-7 * -3 + d * -3) = 5.125d + -3 0.125d + (21 + -3d) = 5.125d + -3 Reorder the terms: 21 + 0.125d + -3d = 5.125d + -3 Combine like terms: 0.125d + -3d = -2.875d 21 + -2.875d = 5.125d + -3 Reorder the terms: 21 + -2.875d = -3 + 5.125d Solving 21 + -2.875d = -3 + 5.125d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-5.125d' to each side of the equation. 21 + -2.875d + -5.125d = -3 + 5.125d + -5.125d Combine like terms: -2.875d + -5.125d = -8d 21 + -8d = -3 + 5.125d + -5.125d Combine like terms: 5.125d + -5.125d = 0.000 21 + -8d = -3 + 0.000 21 + -8d = -3 Add '-21' to each side of the equation. 21 + -21 + -8d = -3 + -21 Combine like terms: 21 + -21 = 0 0 + -8d = -3 + -21 -8d = -3 + -21 Combine like terms: -3 + -21 = -24 -8d = -24 Divide each side by '-8'. d = 3 Simplifying d = 3
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