3(2z+7)+4=5(z-3)

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Solution for 3(2z+7)+4=5(z-3) equation:


Simplifying
3(2z + 7) + 4 = 5(z + -3)

Reorder the terms:
3(7 + 2z) + 4 = 5(z + -3)
(7 * 3 + 2z * 3) + 4 = 5(z + -3)
(21 + 6z) + 4 = 5(z + -3)

Reorder the terms:
21 + 4 + 6z = 5(z + -3)

Combine like terms: 21 + 4 = 25
25 + 6z = 5(z + -3)

Reorder the terms:
25 + 6z = 5(-3 + z)
25 + 6z = (-3 * 5 + z * 5)
25 + 6z = (-15 + 5z)

Solving
25 + 6z = -15 + 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.
25 + 6z + -5z = -15 + 5z + -5z

Combine like terms: 6z + -5z = 1z
25 + 1z = -15 + 5z + -5z

Combine like terms: 5z + -5z = 0
25 + 1z = -15 + 0
25 + 1z = -15

Add '-25' to each side of the equation.
25 + -25 + 1z = -15 + -25

Combine like terms: 25 + -25 = 0
0 + 1z = -15 + -25
1z = -15 + -25

Combine like terms: -15 + -25 = -40
1z = -40

Divide each side by '1'.
z = -40

Simplifying
z = -40

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