9(d+5)=3(d-3)+6a

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Solution for 9(d+5)=3(d-3)+6a equation:


Simplifying
9(d + 5) = 3(d + -3) + 6a

Reorder the terms:
9(5 + d) = 3(d + -3) + 6a
(5 * 9 + d * 9) = 3(d + -3) + 6a
(45 + 9d) = 3(d + -3) + 6a

Reorder the terms:
45 + 9d = 3(-3 + d) + 6a
45 + 9d = (-3 * 3 + d * 3) + 6a
45 + 9d = (-9 + 3d) + 6a

Reorder the terms:
45 + 9d = -9 + 6a + 3d

Solving
45 + 9d = -9 + 6a + 3d

Solving for variable 'd'.

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

Add '-3d' to each side of the equation.
45 + 9d + -3d = -9 + 6a + 3d + -3d

Combine like terms: 9d + -3d = 6d
45 + 6d = -9 + 6a + 3d + -3d

Combine like terms: 3d + -3d = 0
45 + 6d = -9 + 6a + 0
45 + 6d = -9 + 6a

Add '-45' to each side of the equation.
45 + -45 + 6d = -9 + -45 + 6a

Combine like terms: 45 + -45 = 0
0 + 6d = -9 + -45 + 6a
6d = -9 + -45 + 6a

Combine like terms: -9 + -45 = -54
6d = -54 + 6a

Divide each side by '6'.
d = -9 + a

Simplifying
d = -9 + a

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