1.4(z+8)-(7.8+0.4z)=6+4

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Solution for 1.4(z+8)-(7.8+0.4z)=6+4 equation: 


Simplifying
1.4(z + 8) + -1(7.8 + 0.4z) = 6 + 4

Reorder the terms:
1.4(8 + z) + -1(7.8 + 0.4z) = 6 + 4
(8 * 1.4 + z * 1.4) + -1(7.8 + 0.4z) = 6 + 4
(11.2 + 1.4z) + -1(7.8 + 0.4z) = 6 + 4
11.2 + 1.4z + (7.8 * -1 + 0.4z * -1) = 6 + 4
11.2 + 1.4z + (-7.8 + -0.4z) = 6 + 4

Reorder the terms:
11.2 + -7.8 + 1.4z + -0.4z = 6 + 4

Combine like terms: 11.2 + -7.8 = 3.4
3.4 + 1.4z + -0.4z = 6 + 4

Combine like terms: 1.4z + -0.4z = 1z
3.4 + 1z = 6 + 4

Combine like terms: 6 + 4 = 10
3.4 + 1z = 10

Solving
3.4 + 1z = 10

Solving for variable 'z'.

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

Add '-3.4' to each side of the equation.
3.4 + -3.4 + 1z = 10 + -3.4

Combine like terms: 3.4 + -3.4 = 0.0
0.0 + 1z = 10 + -3.4
1z = 10 + -3.4

Combine like terms: 10 + -3.4 = 6.6
1z = 6.6

Divide each side by '1'.
z = 6.6

Simplifying
z = 6.6

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