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Simplifying d + -1(4d + -7) = 5d + -1(d + 21) Reorder the terms: d + -1(-7 + 4d) = 5d + -1(d + 21) d + (-7 * -1 + 4d * -1) = 5d + -1(d + 21) d + (7 + -4d) = 5d + -1(d + 21) Reorder the terms: 7 + d + -4d = 5d + -1(d + 21) Combine like terms: d + -4d = -3d 7 + -3d = 5d + -1(d + 21) Reorder the terms: 7 + -3d = 5d + -1(21 + d) 7 + -3d = 5d + (21 * -1 + d * -1) 7 + -3d = 5d + (-21 + -1d) Reorder the terms: 7 + -3d = -21 + 5d + -1d Combine like terms: 5d + -1d = 4d 7 + -3d = -21 + 4d Solving 7 + -3d = -21 + 4d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-4d' to each side of the equation. 7 + -3d + -4d = -21 + 4d + -4d Combine like terms: -3d + -4d = -7d 7 + -7d = -21 + 4d + -4d Combine like terms: 4d + -4d = 0 7 + -7d = -21 + 0 7 + -7d = -21 Add '-7' to each side of the equation. 7 + -7 + -7d = -21 + -7 Combine like terms: 7 + -7 = 0 0 + -7d = -21 + -7 -7d = -21 + -7 Combine like terms: -21 + -7 = -28 -7d = -28 Divide each side by '-7'. d = 4 Simplifying d = 4
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