0.2(d+2)+2d=6d-11

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Solution for 0.2(d+2)+2d=6d-11 equation:


Simplifying
0.2(d + 2) + 2d = 6d + -11

Reorder the terms:
0.2(2 + d) + 2d = 6d + -11
(2 * 0.2 + d * 0.2) + 2d = 6d + -11
(0.4 + 0.2d) + 2d = 6d + -11

Combine like terms: 0.2d + 2d = 2.2d
0.4 + 2.2d = 6d + -11

Reorder the terms:
0.4 + 2.2d = -11 + 6d

Solving
0.4 + 2.2d = -11 + 6d

Solving for variable 'd'.

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

Add '-6d' to each side of the equation.
0.4 + 2.2d + -6d = -11 + 6d + -6d

Combine like terms: 2.2d + -6d = -3.8d
0.4 + -3.8d = -11 + 6d + -6d

Combine like terms: 6d + -6d = 0
0.4 + -3.8d = -11 + 0
0.4 + -3.8d = -11

Add '-0.4' to each side of the equation.
0.4 + -0.4 + -3.8d = -11 + -0.4

Combine like terms: 0.4 + -0.4 = 0.0
0.0 + -3.8d = -11 + -0.4
-3.8d = -11 + -0.4

Combine like terms: -11 + -0.4 = -11.4
-3.8d = -11.4

Divide each side by '-3.8'.
d = 3

Simplifying
d = 3

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