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

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


Simplifying
4z + 3(5 + -1z) = -1(z + -2) + 5
4z + (5 * 3 + -1z * 3) = -1(z + -2) + 5
4z + (15 + -3z) = -1(z + -2) + 5

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

Combine like terms: 4z + -3z = 1z
15 + 1z = -1(z + -2) + 5

Reorder the terms:
15 + 1z = -1(-2 + z) + 5
15 + 1z = (-2 * -1 + z * -1) + 5
15 + 1z = (2 + -1z) + 5

Reorder the terms:
15 + 1z = 2 + 5 + -1z

Combine like terms: 2 + 5 = 7
15 + 1z = 7 + -1z

Solving
15 + 1z = 7 + -1z

Solving for variable 'z'.

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

Add 'z' to each side of the equation.
15 + 1z + z = 7 + -1z + z

Combine like terms: 1z + z = 2z
15 + 2z = 7 + -1z + z

Combine like terms: -1z + z = 0
15 + 2z = 7 + 0
15 + 2z = 7

Add '-15' to each side of the equation.
15 + -15 + 2z = 7 + -15

Combine like terms: 15 + -15 = 0
0 + 2z = 7 + -15
2z = 7 + -15

Combine like terms: 7 + -15 = -8
2z = -8

Divide each side by '2'.
z = -4

Simplifying
z = -4

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