0.5(4z+7+6.1)=0.6(4z-4)

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Solution for 0.5(4z+7+6.1)=0.6(4z-4) equation:


Simplifying
0.5(4z + 7 + 6.1) = 0.6(4z + -4)

Reorder the terms:
0.5(7 + 6.1 + 4z) = 0.6(4z + -4)

Combine like terms: 7 + 6.1 = 13.1
0.5(13.1 + 4z) = 0.6(4z + -4)
(13.1 * 0.5 + 4z * 0.5) = 0.6(4z + -4)
(6.55 + 2z) = 0.6(4z + -4)

Reorder the terms:
6.55 + 2z = 0.6(-4 + 4z)
6.55 + 2z = (-4 * 0.6 + 4z * 0.6)
6.55 + 2z = (-2.4 + 2.4z)

Solving
6.55 + 2z = -2.4 + 2.4z

Solving for variable 'z'.

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

Add '-2.4z' to each side of the equation.
6.55 + 2z + -2.4z = -2.4 + 2.4z + -2.4z

Combine like terms: 2z + -2.4z = -0.4z
6.55 + -0.4z = -2.4 + 2.4z + -2.4z

Combine like terms: 2.4z + -2.4z = 0.0
6.55 + -0.4z = -2.4 + 0.0
6.55 + -0.4z = -2.4

Add '-6.55' to each side of the equation.
6.55 + -6.55 + -0.4z = -2.4 + -6.55

Combine like terms: 6.55 + -6.55 = 0.00
0.00 + -0.4z = -2.4 + -6.55
-0.4z = -2.4 + -6.55

Combine like terms: -2.4 + -6.55 = -8.95
-0.4z = -8.95

Divide each side by '-0.4'.
z = 22.375

Simplifying
z = 22.375

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