2(6d+3h)=18-3(16-3d)

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Solution for 2(6d+3h)=18-3(16-3d) equation: 


Simplifying
2(6d + 3h) = 18 + -3(16 + -3d)
(6d * 2 + 3h * 2) = 18 + -3(16 + -3d)
(12d + 6h) = 18 + -3(16 + -3d)
12d + 6h = 18 + (16 * -3 + -3d * -3)
12d + 6h = 18 + (-48 + 9d)

Combine like terms: 18 + -48 = -30
12d + 6h = -30 + 9d

Solving
12d + 6h = -30 + 9d

Solving for variable 'd'.

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

Add '-9d' to each side of the equation.
12d + -9d + 6h = -30 + 9d + -9d

Combine like terms: 12d + -9d = 3d
3d + 6h = -30 + 9d + -9d

Combine like terms: 9d + -9d = 0
3d + 6h = -30 + 0
3d + 6h = -30

Add '-6h' to each side of the equation.
3d + 6h + -6h = -30 + -6h

Combine like terms: 6h + -6h = 0
3d + 0 = -30 + -6h
3d = -30 + -6h

Divide each side by '3'.
d = -10 + -2h

Simplifying
d = -10 + -2h

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