4-0.8(d-11)=0.2(5d-11)

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Solution for 4-0.8(d-11)=0.2(5d-11) equation:


Simplifying
4 + -0.8(d + -11) = 0.2(5d + -11)

Reorder the terms:
4 + -0.8(-11 + d) = 0.2(5d + -11)
4 + (-11 * -0.8 + d * -0.8) = 0.2(5d + -11)
4 + (8.8 + -0.8d) = 0.2(5d + -11)

Combine like terms: 4 + 8.8 = 12.8
12.8 + -0.8d = 0.2(5d + -11)

Reorder the terms:
12.8 + -0.8d = 0.2(-11 + 5d)
12.8 + -0.8d = (-11 * 0.2 + 5d * 0.2)
12.8 + -0.8d = (-2.2 + 1d)

Solving
12.8 + -0.8d = -2.2 + 1d

Solving for variable 'd'.

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

Add '-1d' to each side of the equation.
12.8 + -0.8d + -1d = -2.2 + 1d + -1d

Combine like terms: -0.8d + -1d = -1.8d
12.8 + -1.8d = -2.2 + 1d + -1d

Combine like terms: 1d + -1d = 0
12.8 + -1.8d = -2.2 + 0
12.8 + -1.8d = -2.2

Add '-12.8' to each side of the equation.
12.8 + -12.8 + -1.8d = -2.2 + -12.8

Combine like terms: 12.8 + -12.8 = 0.0
0.0 + -1.8d = -2.2 + -12.8
-1.8d = -2.2 + -12.8

Combine like terms: -2.2 + -12.8 = -15
-1.8d = -15

Divide each side by '-1.8'.
d = 8.333333333

Simplifying
d = 8.333333333

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