3.7(2d+1)=4.25(d+2)-1

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Solution for 3.7(2d+1)=4.25(d+2)-1 equation: 


Simplifying
3.7(2d + 1) = 4.25(d + 2) + -1

Reorder the terms:
3.7(1 + 2d) = 4.25(d + 2) + -1
(1 * 3.7 + 2d * 3.7) = 4.25(d + 2) + -1
(3.7 + 7.4d) = 4.25(d + 2) + -1

Reorder the terms:
3.7 + 7.4d = 4.25(2 + d) + -1
3.7 + 7.4d = (2 * 4.25 + d * 4.25) + -1
3.7 + 7.4d = (8.5 + 4.25d) + -1

Reorder the terms:
3.7 + 7.4d = 8.5 + -1 + 4.25d

Combine like terms: 8.5 + -1 = 7.5
3.7 + 7.4d = 7.5 + 4.25d

Solving
3.7 + 7.4d = 7.5 + 4.25d

Solving for variable 'd'.

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

Add '-4.25d' to each side of the equation.
3.7 + 7.4d + -4.25d = 7.5 + 4.25d + -4.25d

Combine like terms: 7.4d + -4.25d = 3.15d
3.7 + 3.15d = 7.5 + 4.25d + -4.25d

Combine like terms: 4.25d + -4.25d = 0.00
3.7 + 3.15d = 7.5 + 0.00
3.7 + 3.15d = 7.5

Add '-3.7' to each side of the equation.
3.7 + -3.7 + 3.15d = 7.5 + -3.7

Combine like terms: 3.7 + -3.7 = 0.0
0.0 + 3.15d = 7.5 + -3.7
3.15d = 7.5 + -3.7

Combine like terms: 7.5 + -3.7 = 3.8
3.15d = 3.8

Divide each side by '3.15'.
d = 1.206349206

Simplifying
d = 1.206349206

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