11(-12z-2)-7z=-13(9z+17)+6(-6z-12)-4

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Solution for 11(-12z-2)-7z=-13(9z+17)+6(-6z-12)-4 equation:


Simplifying
11(-12z + -2) + -7z = -13(9z + 17) + 6(-6z + -12) + -4

Reorder the terms:
11(-2 + -12z) + -7z = -13(9z + 17) + 6(-6z + -12) + -4
(-2 * 11 + -12z * 11) + -7z = -13(9z + 17) + 6(-6z + -12) + -4
(-22 + -132z) + -7z = -13(9z + 17) + 6(-6z + -12) + -4

Combine like terms: -132z + -7z = -139z
-22 + -139z = -13(9z + 17) + 6(-6z + -12) + -4

Reorder the terms:
-22 + -139z = -13(17 + 9z) + 6(-6z + -12) + -4
-22 + -139z = (17 * -13 + 9z * -13) + 6(-6z + -12) + -4
-22 + -139z = (-221 + -117z) + 6(-6z + -12) + -4

Reorder the terms:
-22 + -139z = -221 + -117z + 6(-12 + -6z) + -4
-22 + -139z = -221 + -117z + (-12 * 6 + -6z * 6) + -4
-22 + -139z = -221 + -117z + (-72 + -36z) + -4

Reorder the terms:
-22 + -139z = -221 + -72 + -4 + -117z + -36z

Combine like terms: -221 + -72 = -293
-22 + -139z = -293 + -4 + -117z + -36z

Combine like terms: -293 + -4 = -297
-22 + -139z = -297 + -117z + -36z

Combine like terms: -117z + -36z = -153z
-22 + -139z = -297 + -153z

Solving
-22 + -139z = -297 + -153z

Solving for variable 'z'.

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

Add '153z' to each side of the equation.
-22 + -139z + 153z = -297 + -153z + 153z

Combine like terms: -139z + 153z = 14z
-22 + 14z = -297 + -153z + 153z

Combine like terms: -153z + 153z = 0
-22 + 14z = -297 + 0
-22 + 14z = -297

Add '22' to each side of the equation.
-22 + 22 + 14z = -297 + 22

Combine like terms: -22 + 22 = 0
0 + 14z = -297 + 22
14z = -297 + 22

Combine like terms: -297 + 22 = -275
14z = -275

Divide each side by '14'.
z = -19.64285714

Simplifying
z = -19.64285714

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