3(7z-1)-5(3+z)=-14

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Solution for 3(7z-1)-5(3+z)=-14 equation:


Simplifying
3(7z + -1) + -5(3 + z) = -14

Reorder the terms:
3(-1 + 7z) + -5(3 + z) = -14
(-1 * 3 + 7z * 3) + -5(3 + z) = -14
(-3 + 21z) + -5(3 + z) = -14
-3 + 21z + (3 * -5 + z * -5) = -14
-3 + 21z + (-15 + -5z) = -14

Reorder the terms:
-3 + -15 + 21z + -5z = -14

Combine like terms: -3 + -15 = -18
-18 + 21z + -5z = -14

Combine like terms: 21z + -5z = 16z
-18 + 16z = -14

Solving
-18 + 16z = -14

Solving for variable 'z'.

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

Add '18' to each side of the equation.
-18 + 18 + 16z = -14 + 18

Combine like terms: -18 + 18 = 0
0 + 16z = -14 + 18
16z = -14 + 18

Combine like terms: -14 + 18 = 4
16z = 4

Divide each side by '16'.
z = 0.25

Simplifying
z = 0.25

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