6-(54d-3)=7(3-4d)+8d

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Solution for 6-(54d-3)=7(3-4d)+8d equation:


Simplifying
6 + -1(54d + -3) = 7(3 + -4d) + 8d

Reorder the terms:
6 + -1(-3 + 54d) = 7(3 + -4d) + 8d
6 + (-3 * -1 + 54d * -1) = 7(3 + -4d) + 8d
6 + (3 + -54d) = 7(3 + -4d) + 8d

Combine like terms: 6 + 3 = 9
9 + -54d = 7(3 + -4d) + 8d
9 + -54d = (3 * 7 + -4d * 7) + 8d
9 + -54d = (21 + -28d) + 8d

Combine like terms: -28d + 8d = -20d
9 + -54d = 21 + -20d

Solving
9 + -54d = 21 + -20d

Solving for variable 'd'.

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

Add '20d' to each side of the equation.
9 + -54d + 20d = 21 + -20d + 20d

Combine like terms: -54d + 20d = -34d
9 + -34d = 21 + -20d + 20d

Combine like terms: -20d + 20d = 0
9 + -34d = 21 + 0
9 + -34d = 21

Add '-9' to each side of the equation.
9 + -9 + -34d = 21 + -9

Combine like terms: 9 + -9 = 0
0 + -34d = 21 + -9
-34d = 21 + -9

Combine like terms: 21 + -9 = 12
-34d = 12

Divide each side by '-34'.
d = -0.3529411765

Simplifying
d = -0.3529411765

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