2(4z-7)-4(z-4)=

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Solution for 2(4z-7)-4(z-4)= equation:


Simplifying
2(4z + -7) + -4(z + -4) = 0

Reorder the terms:
2(-7 + 4z) + -4(z + -4) = 0
(-7 * 2 + 4z * 2) + -4(z + -4) = 0
(-14 + 8z) + -4(z + -4) = 0

Reorder the terms:
-14 + 8z + -4(-4 + z) = 0
-14 + 8z + (-4 * -4 + z * -4) = 0
-14 + 8z + (16 + -4z) = 0

Reorder the terms:
-14 + 16 + 8z + -4z = 0

Combine like terms: -14 + 16 = 2
2 + 8z + -4z = 0

Combine like terms: 8z + -4z = 4z
2 + 4z = 0

Solving
2 + 4z = 0

Solving for variable 'z'.

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

Add '-2' to each side of the equation.
2 + -2 + 4z = 0 + -2

Combine like terms: 2 + -2 = 0
0 + 4z = 0 + -2
4z = 0 + -2

Combine like terms: 0 + -2 = -2
4z = -2

Divide each side by '4'.
z = -0.5

Simplifying
z = -0.5

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