2(6d+5)=16-(7d-4)+11d

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Solution for 2(6d+5)=16-(7d-4)+11d equation:


Simplifying
2(6d + 5) = 16 + -1(7d + -4) + 11d

Reorder the terms:
2(5 + 6d) = 16 + -1(7d + -4) + 11d
(5 * 2 + 6d * 2) = 16 + -1(7d + -4) + 11d
(10 + 12d) = 16 + -1(7d + -4) + 11d

Reorder the terms:
10 + 12d = 16 + -1(-4 + 7d) + 11d
10 + 12d = 16 + (-4 * -1 + 7d * -1) + 11d
10 + 12d = 16 + (4 + -7d) + 11d

Combine like terms: 16 + 4 = 20
10 + 12d = 20 + -7d + 11d

Combine like terms: -7d + 11d = 4d
10 + 12d = 20 + 4d

Solving
10 + 12d = 20 + 4d

Solving for variable 'd'.

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

Add '-4d' to each side of the equation.
10 + 12d + -4d = 20 + 4d + -4d

Combine like terms: 12d + -4d = 8d
10 + 8d = 20 + 4d + -4d

Combine like terms: 4d + -4d = 0
10 + 8d = 20 + 0
10 + 8d = 20

Add '-10' to each side of the equation.
10 + -10 + 8d = 20 + -10

Combine like terms: 10 + -10 = 0
0 + 8d = 20 + -10
8d = 20 + -10

Combine like terms: 20 + -10 = 10
8d = 10

Divide each side by '8'.
d = 1.25

Simplifying
d = 1.25

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