6(3d+4)=10(2d+6)

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Solution for 6(3d+4)=10(2d+6) equation:


Simplifying
6(3d + 4) = 10(2d + 6)

Reorder the terms:
6(4 + 3d) = 10(2d + 6)
(4 * 6 + 3d * 6) = 10(2d + 6)
(24 + 18d) = 10(2d + 6)

Reorder the terms:
24 + 18d = 10(6 + 2d)
24 + 18d = (6 * 10 + 2d * 10)
24 + 18d = (60 + 20d)

Solving
24 + 18d = 60 + 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.
24 + 18d + -20d = 60 + 20d + -20d

Combine like terms: 18d + -20d = -2d
24 + -2d = 60 + 20d + -20d

Combine like terms: 20d + -20d = 0
24 + -2d = 60 + 0
24 + -2d = 60

Add '-24' to each side of the equation.
24 + -24 + -2d = 60 + -24

Combine like terms: 24 + -24 = 0
0 + -2d = 60 + -24
-2d = 60 + -24

Combine like terms: 60 + -24 = 36
-2d = 36

Divide each side by '-2'.
d = -18

Simplifying
d = -18

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