2(7y+4x+2z)+2(6y+9x+5z)=

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Solution for 2(7y+4x+2z)+2(6y+9x+5z)= equation:


Simplifying
2(7y + 4x + 2z) + 2(6y + 9x + 5z) = 0

Reorder the terms:
2(4x + 7y + 2z) + 2(6y + 9x + 5z) = 0
(4x * 2 + 7y * 2 + 2z * 2) + 2(6y + 9x + 5z) = 0
(8x + 14y + 4z) + 2(6y + 9x + 5z) = 0

Reorder the terms:
8x + 14y + 4z + 2(9x + 6y + 5z) = 0
8x + 14y + 4z + (9x * 2 + 6y * 2 + 5z * 2) = 0
8x + 14y + 4z + (18x + 12y + 10z) = 0

Reorder the terms:
8x + 18x + 14y + 12y + 4z + 10z = 0

Combine like terms: 8x + 18x = 26x
26x + 14y + 12y + 4z + 10z = 0

Combine like terms: 14y + 12y = 26y
26x + 26y + 4z + 10z = 0

Combine like terms: 4z + 10z = 14z
26x + 26y + 14z = 0

Solving
26x + 26y + 14z = 0

Solving for variable 'x'.

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

Add '-26y' to each side of the equation.
26x + 26y + -26y + 14z = 0 + -26y

Combine like terms: 26y + -26y = 0
26x + 0 + 14z = 0 + -26y
26x + 14z = 0 + -26y
Remove the zero:
26x + 14z = -26y

Add '-14z' to each side of the equation.
26x + 14z + -14z = -26y + -14z

Combine like terms: 14z + -14z = 0
26x + 0 = -26y + -14z
26x = -26y + -14z

Divide each side by '26'.
x = -1y + -0.5384615385z

Simplifying
x = -1y + -0.5384615385z

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