D+22+(D+22)*20+D=902

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Solution for D+22+(D+22)*20+D=902 equation:


Simplifying
D + 22 + (D + 22) * 20 + D = 902

Reorder the terms:
D + 22 + (22 + D) * 20 + D = 902

Reorder the terms for easier multiplication:
D + 22 + 20(22 + D) + D = 902
D + 22 + (22 * 20 + D * 20) + D = 902
D + 22 + (440 + 20D) + D = 902

Reorder the terms:
22 + 440 + D + 20D + D = 902

Combine like terms: 22 + 440 = 462
462 + D + 20D + D = 902

Combine like terms: D + 20D = 21D
462 + 21D + D = 902

Combine like terms: 21D + D = 22D
462 + 22D = 902

Solving
462 + 22D = 902

Solving for variable 'D'.

Move all terms containing D to the left, all other terms to the right.

Add '-462' to each side of the equation.
462 + -462 + 22D = 902 + -462

Combine like terms: 462 + -462 = 0
0 + 22D = 902 + -462
22D = 902 + -462

Combine like terms: 902 + -462 = 440
22D = 440

Divide each side by '22'.
D = 20

Simplifying
D = 20

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