-9(z+1)+4(4z-7)=6(z-6)+13

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Solution for -9(z+1)+4(4z-7)=6(z-6)+13 equation:


Simplifying
-9(z + 1) + 4(4z + -7) = 6(z + -6) + 13

Reorder the terms:
-9(1 + z) + 4(4z + -7) = 6(z + -6) + 13
(1 * -9 + z * -9) + 4(4z + -7) = 6(z + -6) + 13
(-9 + -9z) + 4(4z + -7) = 6(z + -6) + 13

Reorder the terms:
-9 + -9z + 4(-7 + 4z) = 6(z + -6) + 13
-9 + -9z + (-7 * 4 + 4z * 4) = 6(z + -6) + 13
-9 + -9z + (-28 + 16z) = 6(z + -6) + 13

Reorder the terms:
-9 + -28 + -9z + 16z = 6(z + -6) + 13

Combine like terms: -9 + -28 = -37
-37 + -9z + 16z = 6(z + -6) + 13

Combine like terms: -9z + 16z = 7z
-37 + 7z = 6(z + -6) + 13

Reorder the terms:
-37 + 7z = 6(-6 + z) + 13
-37 + 7z = (-6 * 6 + z * 6) + 13
-37 + 7z = (-36 + 6z) + 13

Reorder the terms:
-37 + 7z = -36 + 13 + 6z

Combine like terms: -36 + 13 = -23
-37 + 7z = -23 + 6z

Solving
-37 + 7z = -23 + 6z

Solving for variable 'z'.

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

Add '-6z' to each side of the equation.
-37 + 7z + -6z = -23 + 6z + -6z

Combine like terms: 7z + -6z = 1z
-37 + 1z = -23 + 6z + -6z

Combine like terms: 6z + -6z = 0
-37 + 1z = -23 + 0
-37 + 1z = -23

Add '37' to each side of the equation.
-37 + 37 + 1z = -23 + 37

Combine like terms: -37 + 37 = 0
0 + 1z = -23 + 37
1z = -23 + 37

Combine like terms: -23 + 37 = 14
1z = 14

Divide each side by '1'.
z = 14

Simplifying
z = 14

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