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Simplifying 7(d + 2) = 10(d + 5) Reorder the terms: 7(2 + d) = 10(d + 5) (2 * 7 + d * 7) = 10(d + 5) (14 + 7d) = 10(d + 5) Reorder the terms: 14 + 7d = 10(5 + d) 14 + 7d = (5 * 10 + d * 10) 14 + 7d = (50 + 10d) Solving 14 + 7d = 50 + 10d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-10d' to each side of the equation. 14 + 7d + -10d = 50 + 10d + -10d Combine like terms: 7d + -10d = -3d 14 + -3d = 50 + 10d + -10d Combine like terms: 10d + -10d = 0 14 + -3d = 50 + 0 14 + -3d = 50 Add '-14' to each side of the equation. 14 + -14 + -3d = 50 + -14 Combine like terms: 14 + -14 = 0 0 + -3d = 50 + -14 -3d = 50 + -14 Combine like terms: 50 + -14 = 36 -3d = 36 Divide each side by '-3'. d = -12 Simplifying d = -12
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