0.7(z+14.1)=0.3(z+32.9)

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Solution for 0.7(z+14.1)=0.3(z+32.9) equation: 


Simplifying
0.7(z + 14.1) = 0.3(z + 32.9)

Reorder the terms:
0.7(14.1 + z) = 0.3(z + 32.9)
(14.1 * 0.7 + z * 0.7) = 0.3(z + 32.9)
(9.87 + 0.7z) = 0.3(z + 32.9)

Reorder the terms:
9.87 + 0.7z = 0.3(32.9 + z)
9.87 + 0.7z = (32.9 * 0.3 + z * 0.3)
9.87 + 0.7z = (9.87 + 0.3z)

Add '-9.87' to each side of the equation.
9.87 + -9.87 + 0.7z = 9.87 + -9.87 + 0.3z

Combine like terms: 9.87 + -9.87 = 0.00
0.00 + 0.7z = 9.87 + -9.87 + 0.3z
0.7z = 9.87 + -9.87 + 0.3z

Combine like terms: 9.87 + -9.87 = 0.00
0.7z = 0.00 + 0.3z
0.7z = 0.3z

Solving
0.7z = 0.3z

Solving for variable 'z'.

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

Add '-0.3z' to each side of the equation.
0.7z + -0.3z = 0.3z + -0.3z

Combine like terms: 0.7z + -0.3z = 0.4z
0.4z = 0.3z + -0.3z

Combine like terms: 0.3z + -0.3z = 0.0
0.4z = 0.0

Divide each side by '0.4'.
z = 0

Simplifying
z = 0

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