(10z+4)-(9z+7)=-6

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Solution for (10z+4)-(9z+7)=-6 equation:


Simplifying
(10z + 4) + -1(9z + 7) = -6

Reorder the terms:
(4 + 10z) + -1(9z + 7) = -6

Remove parenthesis around (4 + 10z)
4 + 10z + -1(9z + 7) = -6

Reorder the terms:
4 + 10z + -1(7 + 9z) = -6
4 + 10z + (7 * -1 + 9z * -1) = -6
4 + 10z + (-7 + -9z) = -6

Reorder the terms:
4 + -7 + 10z + -9z = -6

Combine like terms: 4 + -7 = -3
-3 + 10z + -9z = -6

Combine like terms: 10z + -9z = 1z
-3 + 1z = -6

Solving
-3 + 1z = -6

Solving for variable 'z'.

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

Add '3' to each side of the equation.
-3 + 3 + 1z = -6 + 3

Combine like terms: -3 + 3 = 0
0 + 1z = -6 + 3
1z = -6 + 3

Combine like terms: -6 + 3 = -3
1z = -3

Divide each side by '1'.
z = -3

Simplifying
z = -3

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