9(21d+2)+1=8(4d+3)+2

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Solution for 9(21d+2)+1=8(4d+3)+2 equation:


Simplifying
9(21d + 2) + 1 = 8(4d + 3) + 2

Reorder the terms:
9(2 + 21d) + 1 = 8(4d + 3) + 2
(2 * 9 + 21d * 9) + 1 = 8(4d + 3) + 2
(18 + 189d) + 1 = 8(4d + 3) + 2

Reorder the terms:
18 + 1 + 189d = 8(4d + 3) + 2

Combine like terms: 18 + 1 = 19
19 + 189d = 8(4d + 3) + 2

Reorder the terms:
19 + 189d = 8(3 + 4d) + 2
19 + 189d = (3 * 8 + 4d * 8) + 2
19 + 189d = (24 + 32d) + 2

Reorder the terms:
19 + 189d = 24 + 2 + 32d

Combine like terms: 24 + 2 = 26
19 + 189d = 26 + 32d

Solving
19 + 189d = 26 + 32d

Solving for variable 'd'.

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

Add '-32d' to each side of the equation.
19 + 189d + -32d = 26 + 32d + -32d

Combine like terms: 189d + -32d = 157d
19 + 157d = 26 + 32d + -32d

Combine like terms: 32d + -32d = 0
19 + 157d = 26 + 0
19 + 157d = 26

Add '-19' to each side of the equation.
19 + -19 + 157d = 26 + -19

Combine like terms: 19 + -19 = 0
0 + 157d = 26 + -19
157d = 26 + -19

Combine like terms: 26 + -19 = 7
157d = 7

Divide each side by '157'.
d = 0.04458598726

Simplifying
d = 0.04458598726

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