6(z+8)-7(z+5)=

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Solution for 6(z+8)-7(z+5)= equation:


Simplifying
6(z + 8) + -7(z + 5) = 0

Reorder the terms:
6(8 + z) + -7(z + 5) = 0
(8 * 6 + z * 6) + -7(z + 5) = 0
(48 + 6z) + -7(z + 5) = 0

Reorder the terms:
48 + 6z + -7(5 + z) = 0
48 + 6z + (5 * -7 + z * -7) = 0
48 + 6z + (-35 + -7z) = 0

Reorder the terms:
48 + -35 + 6z + -7z = 0

Combine like terms: 48 + -35 = 13
13 + 6z + -7z = 0

Combine like terms: 6z + -7z = -1z
13 + -1z = 0

Solving
13 + -1z = 0

Solving for variable 'z'.

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

Add '-13' to each side of the equation.
13 + -13 + -1z = 0 + -13

Combine like terms: 13 + -13 = 0
0 + -1z = 0 + -13
-1z = 0 + -13

Combine like terms: 0 + -13 = -13
-1z = -13

Divide each side by '-1'.
z = 13

Simplifying
z = 13

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