1.7(z+7)-(5.7+0.7z)=-5+2

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Solution for 1.7(z+7)-(5.7+0.7z)=-5+2 equation: 


Simplifying
1.7(z + 7) + -1(5.7 + 0.7z) = -5 + 2

Reorder the terms:
1.7(7 + z) + -1(5.7 + 0.7z) = -5 + 2
(7 * 1.7 + z * 1.7) + -1(5.7 + 0.7z) = -5 + 2
(11.9 + 1.7z) + -1(5.7 + 0.7z) = -5 + 2
11.9 + 1.7z + (5.7 * -1 + 0.7z * -1) = -5 + 2
11.9 + 1.7z + (-5.7 + -0.7z) = -5 + 2

Reorder the terms:
11.9 + -5.7 + 1.7z + -0.7z = -5 + 2

Combine like terms: 11.9 + -5.7 = 6.2
6.2 + 1.7z + -0.7z = -5 + 2

Combine like terms: 1.7z + -0.7z = 1z
6.2 + 1z = -5 + 2

Combine like terms: -5 + 2 = -3
6.2 + 1z = -3

Solving
6.2 + 1z = -3

Solving for variable 'z'.

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

Add '-6.2' to each side of the equation.
6.2 + -6.2 + 1z = -3 + -6.2

Combine like terms: 6.2 + -6.2 = 0.0
0.0 + 1z = -3 + -6.2
1z = -3 + -6.2

Combine like terms: -3 + -6.2 = -9.2
1z = -9.2

Divide each side by '1'.
z = -9.2

Simplifying
z = -9.2

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