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Simplifying d + 14 = 8(d + 7) Reorder the terms: 14 + d = 8(d + 7) Reorder the terms: 14 + d = 8(7 + d) 14 + d = (7 * 8 + d * 8) 14 + d = (56 + 8d) Solving 14 + d = 56 + 8d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-8d' to each side of the equation. 14 + d + -8d = 56 + 8d + -8d Combine like terms: d + -8d = -7d 14 + -7d = 56 + 8d + -8d Combine like terms: 8d + -8d = 0 14 + -7d = 56 + 0 14 + -7d = 56 Add '-14' to each side of the equation. 14 + -14 + -7d = 56 + -14 Combine like terms: 14 + -14 = 0 0 + -7d = 56 + -14 -7d = 56 + -14 Combine like terms: 56 + -14 = 42 -7d = 42 Divide each side by '-7'. d = -6 Simplifying d = -6
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