5(9d-7)+6=11d-4

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Solution for 5(9d-7)+6=11d-4 equation:


Simplifying
5(9d + -7) + 6 = 11d + -4

Reorder the terms:
5(-7 + 9d) + 6 = 11d + -4
(-7 * 5 + 9d * 5) + 6 = 11d + -4
(-35 + 45d) + 6 = 11d + -4

Reorder the terms:
-35 + 6 + 45d = 11d + -4

Combine like terms: -35 + 6 = -29
-29 + 45d = 11d + -4

Reorder the terms:
-29 + 45d = -4 + 11d

Solving
-29 + 45d = -4 + 11d

Solving for variable 'd'.

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

Add '-11d' to each side of the equation.
-29 + 45d + -11d = -4 + 11d + -11d

Combine like terms: 45d + -11d = 34d
-29 + 34d = -4 + 11d + -11d

Combine like terms: 11d + -11d = 0
-29 + 34d = -4 + 0
-29 + 34d = -4

Add '29' to each side of the equation.
-29 + 29 + 34d = -4 + 29

Combine like terms: -29 + 29 = 0
0 + 34d = -4 + 29
34d = -4 + 29

Combine like terms: -4 + 29 = 25
34d = 25

Divide each side by '34'.
d = 0.7352941176

Simplifying
d = 0.7352941176

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