2(1.5d-2)+(.7d+1)=2(4-1.3d)+(2.5+d)

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Solution for 2(1.5d-2)+(.7d+1)=2(4-1.3d)+(2.5+d) equation: 


Simplifying
2(1.5d + -2) + (0.7d + 1) = 2(4 + -1.3d) + (2.5 + d)

Reorder the terms:
2(-2 + 1.5d) + (0.7d + 1) = 2(4 + -1.3d) + (2.5 + d)
(-2 * 2 + 1.5d * 2) + (0.7d + 1) = 2(4 + -1.3d) + (2.5 + d)
(-4 + 3d) + (0.7d + 1) = 2(4 + -1.3d) + (2.5 + d)

Reorder the terms:
-4 + 3d + (1 + 0.7d) = 2(4 + -1.3d) + (2.5 + d)

Remove parenthesis around (1 + 0.7d)
-4 + 3d + 1 + 0.7d = 2(4 + -1.3d) + (2.5 + d)

Reorder the terms:
-4 + 1 + 3d + 0.7d = 2(4 + -1.3d) + (2.5 + d)

Combine like terms: -4 + 1 = -3
-3 + 3d + 0.7d = 2(4 + -1.3d) + (2.5 + d)

Combine like terms: 3d + 0.7d = 3.7d
-3 + 3.7d = 2(4 + -1.3d) + (2.5 + d)
-3 + 3.7d = (4 * 2 + -1.3d * 2) + (2.5 + d)
-3 + 3.7d = (8 + -2.6d) + (2.5 + d)

Remove parenthesis around (2.5 + d)
-3 + 3.7d = 8 + -2.6d + 2.5 + d

Reorder the terms:
-3 + 3.7d = 8 + 2.5 + -2.6d + d

Combine like terms: 8 + 2.5 = 10.5
-3 + 3.7d = 10.5 + -2.6d + d

Combine like terms: -2.6d + d = -1.6d
-3 + 3.7d = 10.5 + -1.6d

Solving
-3 + 3.7d = 10.5 + -1.6d

Solving for variable 'd'.

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

Add '1.6d' to each side of the equation.
-3 + 3.7d + 1.6d = 10.5 + -1.6d + 1.6d

Combine like terms: 3.7d + 1.6d = 5.3d
-3 + 5.3d = 10.5 + -1.6d + 1.6d

Combine like terms: -1.6d + 1.6d = 0.0
-3 + 5.3d = 10.5 + 0.0
-3 + 5.3d = 10.5

Add '3' to each side of the equation.
-3 + 3 + 5.3d = 10.5 + 3

Combine like terms: -3 + 3 = 0
0 + 5.3d = 10.5 + 3
5.3d = 10.5 + 3

Combine like terms: 10.5 + 3 = 13.5
5.3d = 13.5

Divide each side by '5.3'.
d = 2.547169811

Simplifying
d = 2.547169811

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