-10(z+3)+4(4z-4)=5(z-5)+12

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Solution for -10(z+3)+4(4z-4)=5(z-5)+12 equation:


Simplifying
-10(z + 3) + 4(4z + -4) = 5(z + -5) + 12

Reorder the terms:
-10(3 + z) + 4(4z + -4) = 5(z + -5) + 12
(3 * -10 + z * -10) + 4(4z + -4) = 5(z + -5) + 12
(-30 + -10z) + 4(4z + -4) = 5(z + -5) + 12

Reorder the terms:
-30 + -10z + 4(-4 + 4z) = 5(z + -5) + 12
-30 + -10z + (-4 * 4 + 4z * 4) = 5(z + -5) + 12
-30 + -10z + (-16 + 16z) = 5(z + -5) + 12

Reorder the terms:
-30 + -16 + -10z + 16z = 5(z + -5) + 12

Combine like terms: -30 + -16 = -46
-46 + -10z + 16z = 5(z + -5) + 12

Combine like terms: -10z + 16z = 6z
-46 + 6z = 5(z + -5) + 12

Reorder the terms:
-46 + 6z = 5(-5 + z) + 12
-46 + 6z = (-5 * 5 + z * 5) + 12
-46 + 6z = (-25 + 5z) + 12

Reorder the terms:
-46 + 6z = -25 + 12 + 5z

Combine like terms: -25 + 12 = -13
-46 + 6z = -13 + 5z

Solving
-46 + 6z = -13 + 5z

Solving for variable 'z'.

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

Add '-5z' to each side of the equation.
-46 + 6z + -5z = -13 + 5z + -5z

Combine like terms: 6z + -5z = 1z
-46 + 1z = -13 + 5z + -5z

Combine like terms: 5z + -5z = 0
-46 + 1z = -13 + 0
-46 + 1z = -13

Add '46' to each side of the equation.
-46 + 46 + 1z = -13 + 46

Combine like terms: -46 + 46 = 0
0 + 1z = -13 + 46
1z = -13 + 46

Combine like terms: -13 + 46 = 33
1z = 33

Divide each side by '1'.
z = 33

Simplifying
z = 33

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