5.4d-2.3d+3(d-4)=6.5

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Solution for 5.4d-2.3d+3(d-4)=6.5 equation:


Simplifying
5.4d + -2.3d + 3(d + -4) = 6.5

Reorder the terms:
5.4d + -2.3d + 3(-4 + d) = 6.5
5.4d + -2.3d + (-4 * 3 + d * 3) = 6.5
5.4d + -2.3d + (-12 + 3d) = 6.5

Reorder the terms:
-12 + 5.4d + -2.3d + 3d = 6.5

Combine like terms: 5.4d + -2.3d = 3.1d
-12 + 3.1d + 3d = 6.5

Combine like terms: 3.1d + 3d = 6.1d
-12 + 6.1d = 6.5

Solving
-12 + 6.1d = 6.5

Solving for variable 'd'.

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

Add '12' to each side of the equation.
-12 + 12 + 6.1d = 6.5 + 12

Combine like terms: -12 + 12 = 0
0 + 6.1d = 6.5 + 12
6.1d = 6.5 + 12

Combine like terms: 6.5 + 12 = 18.5
6.1d = 18.5

Divide each side by '6.1'.
d = 3.032786885

Simplifying
d = 3.032786885

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