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

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


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

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

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

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

Combine like terms: 11 + 3 = 14
14 + 11z + 3z = 4(z + -2) + 3(z + -2)

Combine like terms: 11z + 3z = 14z
14 + 14z = 4(z + -2) + 3(z + -2)

Reorder the terms:
14 + 14z = 4(-2 + z) + 3(z + -2)
14 + 14z = (-2 * 4 + z * 4) + 3(z + -2)
14 + 14z = (-8 + 4z) + 3(z + -2)

Reorder the terms:
14 + 14z = -8 + 4z + 3(-2 + z)
14 + 14z = -8 + 4z + (-2 * 3 + z * 3)
14 + 14z = -8 + 4z + (-6 + 3z)

Reorder the terms:
14 + 14z = -8 + -6 + 4z + 3z

Combine like terms: -8 + -6 = -14
14 + 14z = -14 + 4z + 3z

Combine like terms: 4z + 3z = 7z
14 + 14z = -14 + 7z

Solving
14 + 14z = -14 + 7z

Solving for variable 'z'.

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

Add '-7z' to each side of the equation.
14 + 14z + -7z = -14 + 7z + -7z

Combine like terms: 14z + -7z = 7z
14 + 7z = -14 + 7z + -7z

Combine like terms: 7z + -7z = 0
14 + 7z = -14 + 0
14 + 7z = -14

Add '-14' to each side of the equation.
14 + -14 + 7z = -14 + -14

Combine like terms: 14 + -14 = 0
0 + 7z = -14 + -14
7z = -14 + -14

Combine like terms: -14 + -14 = -28
7z = -28

Divide each side by '7'.
z = -4

Simplifying
z = -4

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