7(4z-11)-5(1+2z)=41+3(2z+7)

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Solution for 7(4z-11)-5(1+2z)=41+3(2z+7) equation:


Simplifying
7(4z + -11) + -5(1 + 2z) = 41 + 3(2z + 7)

Reorder the terms:
7(-11 + 4z) + -5(1 + 2z) = 41 + 3(2z + 7)
(-11 * 7 + 4z * 7) + -5(1 + 2z) = 41 + 3(2z + 7)
(-77 + 28z) + -5(1 + 2z) = 41 + 3(2z + 7)
-77 + 28z + (1 * -5 + 2z * -5) = 41 + 3(2z + 7)
-77 + 28z + (-5 + -10z) = 41 + 3(2z + 7)

Reorder the terms:
-77 + -5 + 28z + -10z = 41 + 3(2z + 7)

Combine like terms: -77 + -5 = -82
-82 + 28z + -10z = 41 + 3(2z + 7)

Combine like terms: 28z + -10z = 18z
-82 + 18z = 41 + 3(2z + 7)

Reorder the terms:
-82 + 18z = 41 + 3(7 + 2z)
-82 + 18z = 41 + (7 * 3 + 2z * 3)
-82 + 18z = 41 + (21 + 6z)

Combine like terms: 41 + 21 = 62
-82 + 18z = 62 + 6z

Solving
-82 + 18z = 62 + 6z

Solving for variable 'z'.

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

Add '-6z' to each side of the equation.
-82 + 18z + -6z = 62 + 6z + -6z

Combine like terms: 18z + -6z = 12z
-82 + 12z = 62 + 6z + -6z

Combine like terms: 6z + -6z = 0
-82 + 12z = 62 + 0
-82 + 12z = 62

Add '82' to each side of the equation.
-82 + 82 + 12z = 62 + 82

Combine like terms: -82 + 82 = 0
0 + 12z = 62 + 82
12z = 62 + 82

Combine like terms: 62 + 82 = 144
12z = 144

Divide each side by '12'.
z = 12

Simplifying
z = 12

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