4(2z+7)=7-3(z-7)

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Solution for 4(2z+7)=7-3(z-7) equation:


Simplifying
4(2z + 7) = 7 + -3(z + -7)

Reorder the terms:
4(7 + 2z) = 7 + -3(z + -7)
(7 * 4 + 2z * 4) = 7 + -3(z + -7)
(28 + 8z) = 7 + -3(z + -7)

Reorder the terms:
28 + 8z = 7 + -3(-7 + z)
28 + 8z = 7 + (-7 * -3 + z * -3)
28 + 8z = 7 + (21 + -3z)

Combine like terms: 7 + 21 = 28
28 + 8z = 28 + -3z

Add '-28' to each side of the equation.
28 + -28 + 8z = 28 + -28 + -3z

Combine like terms: 28 + -28 = 0
0 + 8z = 28 + -28 + -3z
8z = 28 + -28 + -3z

Combine like terms: 28 + -28 = 0
8z = 0 + -3z
8z = -3z

Solving
8z = -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.
8z + 3z = -3z + 3z

Combine like terms: 8z + 3z = 11z
11z = -3z + 3z

Combine like terms: -3z + 3z = 0
11z = 0

Divide each side by '11'.
z = 0

Simplifying
z = 0

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