-2-4(3z-1)=2(-5z+4)-7

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Solution for -2-4(3z-1)=2(-5z+4)-7 equation:


Simplifying
-2 + -4(3z + -1) = 2(-5z + 4) + -7

Reorder the terms:
-2 + -4(-1 + 3z) = 2(-5z + 4) + -7
-2 + (-1 * -4 + 3z * -4) = 2(-5z + 4) + -7
-2 + (4 + -12z) = 2(-5z + 4) + -7

Combine like terms: -2 + 4 = 2
2 + -12z = 2(-5z + 4) + -7

Reorder the terms:
2 + -12z = 2(4 + -5z) + -7
2 + -12z = (4 * 2 + -5z * 2) + -7
2 + -12z = (8 + -10z) + -7

Reorder the terms:
2 + -12z = 8 + -7 + -10z

Combine like terms: 8 + -7 = 1
2 + -12z = 1 + -10z

Solving
2 + -12z = 1 + -10z

Solving for variable 'z'.

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

Add '10z' to each side of the equation.
2 + -12z + 10z = 1 + -10z + 10z

Combine like terms: -12z + 10z = -2z
2 + -2z = 1 + -10z + 10z

Combine like terms: -10z + 10z = 0
2 + -2z = 1 + 0
2 + -2z = 1

Add '-2' to each side of the equation.
2 + -2 + -2z = 1 + -2

Combine like terms: 2 + -2 = 0
0 + -2z = 1 + -2
-2z = 1 + -2

Combine like terms: 1 + -2 = -1
-2z = -1

Divide each side by '-2'.
z = 0.5

Simplifying
z = 0.5

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