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

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


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

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

Reorder the terms:
-4 + 3d + 2(1 + 0.7d) = 2(4 + -1.3d) + 2(2.5 + d)
-4 + 3d + (1 * 2 + 0.7d * 2) = 2(4 + -1.3d) + 2(2.5 + d)
-4 + 3d + (2 + 1.4d) = 2(4 + -1.3d) + 2(2.5 + d)

Reorder the terms:
-4 + 2 + 3d + 1.4d = 2(4 + -1.3d) + 2(2.5 + d)

Combine like terms: -4 + 2 = -2
-2 + 3d + 1.4d = 2(4 + -1.3d) + 2(2.5 + d)

Combine like terms: 3d + 1.4d = 4.4d
-2 + 4.4d = 2(4 + -1.3d) + 2(2.5 + d)
-2 + 4.4d = (4 * 2 + -1.3d * 2) + 2(2.5 + d)
-2 + 4.4d = (8 + -2.6d) + 2(2.5 + d)
-2 + 4.4d = 8 + -2.6d + (2.5 * 2 + d * 2)
-2 + 4.4d = 8 + -2.6d + (5 + 2d)

Reorder the terms:
-2 + 4.4d = 8 + 5 + -2.6d + 2d

Combine like terms: 8 + 5 = 13
-2 + 4.4d = 13 + -2.6d + 2d

Combine like terms: -2.6d + 2d = -0.6d
-2 + 4.4d = 13 + -0.6d

Solving
-2 + 4.4d = 13 + -0.6d

Solving for variable 'd'.

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

Add '0.6d' to each side of the equation.
-2 + 4.4d + 0.6d = 13 + -0.6d + 0.6d

Combine like terms: 4.4d + 0.6d = 5d
-2 + 5d = 13 + -0.6d + 0.6d

Combine like terms: -0.6d + 0.6d = 0.0
-2 + 5d = 13 + 0.0
-2 + 5d = 13

Add '2' to each side of the equation.
-2 + 2 + 5d = 13 + 2

Combine like terms: -2 + 2 = 0
0 + 5d = 13 + 2
5d = 13 + 2

Combine like terms: 13 + 2 = 15
5d = 15

Divide each side by '5'.
d = 3

Simplifying
d = 3

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