7(11d-5)=63d+28+6d-7

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Solution for 7(11d-5)=63d+28+6d-7 equation:


Simplifying
7(11d + -5) = 63d + 28 + 6d + -7

Reorder the terms:
7(-5 + 11d) = 63d + 28 + 6d + -7
(-5 * 7 + 11d * 7) = 63d + 28 + 6d + -7
(-35 + 77d) = 63d + 28 + 6d + -7

Reorder the terms:
-35 + 77d = 28 + -7 + 63d + 6d

Combine like terms: 28 + -7 = 21
-35 + 77d = 21 + 63d + 6d

Combine like terms: 63d + 6d = 69d
-35 + 77d = 21 + 69d

Solving
-35 + 77d = 21 + 69d

Solving for variable 'd'.

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

Add '-69d' to each side of the equation.
-35 + 77d + -69d = 21 + 69d + -69d

Combine like terms: 77d + -69d = 8d
-35 + 8d = 21 + 69d + -69d

Combine like terms: 69d + -69d = 0
-35 + 8d = 21 + 0
-35 + 8d = 21

Add '35' to each side of the equation.
-35 + 35 + 8d = 21 + 35

Combine like terms: -35 + 35 = 0
0 + 8d = 21 + 35
8d = 21 + 35

Combine like terms: 21 + 35 = 56
8d = 56

Divide each side by '8'.
d = 7

Simplifying
d = 7

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