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

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


Simplifying
4(5 + -2z) = -3(5z + -2)
(5 * 4 + -2z * 4) = -3(5z + -2)
(20 + -8z) = -3(5z + -2)

Reorder the terms:
20 + -8z = -3(-2 + 5z)
20 + -8z = (-2 * -3 + 5z * -3)
20 + -8z = (6 + -15z)

Solving
20 + -8z = 6 + -15z

Solving for variable 'z'.

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

Add '15z' to each side of the equation.
20 + -8z + 15z = 6 + -15z + 15z

Combine like terms: -8z + 15z = 7z
20 + 7z = 6 + -15z + 15z

Combine like terms: -15z + 15z = 0
20 + 7z = 6 + 0
20 + 7z = 6

Add '-20' to each side of the equation.
20 + -20 + 7z = 6 + -20

Combine like terms: 20 + -20 = 0
0 + 7z = 6 + -20
7z = 6 + -20

Combine like terms: 6 + -20 = -14
7z = -14

Divide each side by '7'.
z = -2

Simplifying
z = -2

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