3(5z-3)-4(22+1)=5z-2

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Solution for 3(5z-3)-4(22+1)=5z-2 equation:


Simplifying
3(5z + -3) + -4(22 + 1) = 5z + -2

Reorder the terms:
3(-3 + 5z) + -4(22 + 1) = 5z + -2
(-3 * 3 + 5z * 3) + -4(22 + 1) = 5z + -2
(-9 + 15z) + -4(22 + 1) = 5z + -2

Combine like terms: 22 + 1 = 23
-9 + 15z + -4(23) = 5z + -2

Multiply -4 * 23
-9 + 15z + -92 = 5z + -2

Reorder the terms:
-9 + -92 + 15z = 5z + -2

Combine like terms: -9 + -92 = -101
-101 + 15z = 5z + -2

Reorder the terms:
-101 + 15z = -2 + 5z

Solving
-101 + 15z = -2 + 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.
-101 + 15z + -5z = -2 + 5z + -5z

Combine like terms: 15z + -5z = 10z
-101 + 10z = -2 + 5z + -5z

Combine like terms: 5z + -5z = 0
-101 + 10z = -2 + 0
-101 + 10z = -2

Add '101' to each side of the equation.
-101 + 101 + 10z = -2 + 101

Combine like terms: -101 + 101 = 0
0 + 10z = -2 + 101
10z = -2 + 101

Combine like terms: -2 + 101 = 99
10z = 99

Divide each side by '10'.
z = 9.9

Simplifying
z = 9.9

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