11(z+2)-3(z-3)=4(2-3)+3(z-1)

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


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

Reorder the terms:
11(2 + z) + -3(z + -3) = 4(2 + -3) + 3(z + -1)
(2 * 11 + z * 11) + -3(z + -3) = 4(2 + -3) + 3(z + -1)
(22 + 11z) + -3(z + -3) = 4(2 + -3) + 3(z + -1)

Reorder the terms:
22 + 11z + -3(-3 + z) = 4(2 + -3) + 3(z + -1)
22 + 11z + (-3 * -3 + z * -3) = 4(2 + -3) + 3(z + -1)
22 + 11z + (9 + -3z) = 4(2 + -3) + 3(z + -1)

Reorder the terms:
22 + 9 + 11z + -3z = 4(2 + -3) + 3(z + -1)

Combine like terms: 22 + 9 = 31
31 + 11z + -3z = 4(2 + -3) + 3(z + -1)

Combine like terms: 11z + -3z = 8z
31 + 8z = 4(2 + -3) + 3(z + -1)

Combine like terms: 2 + -3 = -1
31 + 8z = 4(-1) + 3(z + -1)

Multiply 4 * -1
31 + 8z = -4 + 3(z + -1)

Reorder the terms:
31 + 8z = -4 + 3(-1 + z)
31 + 8z = -4 + (-1 * 3 + z * 3)
31 + 8z = -4 + (-3 + 3z)

Combine like terms: -4 + -3 = -7
31 + 8z = -7 + 3z

Solving
31 + 8z = -7 + 3z

Solving for variable 'z'.

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

Add '-3z' to each side of the equation.
31 + 8z + -3z = -7 + 3z + -3z

Combine like terms: 8z + -3z = 5z
31 + 5z = -7 + 3z + -3z

Combine like terms: 3z + -3z = 0
31 + 5z = -7 + 0
31 + 5z = -7

Add '-31' to each side of the equation.
31 + -31 + 5z = -7 + -31

Combine like terms: 31 + -31 = 0
0 + 5z = -7 + -31
5z = -7 + -31

Combine like terms: -7 + -31 = -38
5z = -38

Divide each side by '5'.
z = -7.6

Simplifying
z = -7.6

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