.2(4d-3)+.1d=.4d+1.15

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Solution for .2(4d-3)+.1d=.4d+1.15 equation:


Simplifying
0.2(4d + -3) + 0.1d = 0.4d + 1.15

Reorder the terms:
0.2(-3 + 4d) + 0.1d = 0.4d + 1.15
(-3 * 0.2 + 4d * 0.2) + 0.1d = 0.4d + 1.15
(-0.6 + 0.8d) + 0.1d = 0.4d + 1.15

Combine like terms: 0.8d + 0.1d = 0.9d
-0.6 + 0.9d = 0.4d + 1.15

Reorder the terms:
-0.6 + 0.9d = 1.15 + 0.4d

Solving
-0.6 + 0.9d = 1.15 + 0.4d

Solving for variable 'd'.

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

Add '-0.4d' to each side of the equation.
-0.6 + 0.9d + -0.4d = 1.15 + 0.4d + -0.4d

Combine like terms: 0.9d + -0.4d = 0.5d
-0.6 + 0.5d = 1.15 + 0.4d + -0.4d

Combine like terms: 0.4d + -0.4d = 0.0
-0.6 + 0.5d = 1.15 + 0.0
-0.6 + 0.5d = 1.15

Add '0.6' to each side of the equation.
-0.6 + 0.6 + 0.5d = 1.15 + 0.6

Combine like terms: -0.6 + 0.6 = 0.0
0.0 + 0.5d = 1.15 + 0.6
0.5d = 1.15 + 0.6

Combine like terms: 1.15 + 0.6 = 1.75
0.5d = 1.75

Divide each side by '0.5'.
d = 3.5

Simplifying
d = 3.5

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