1.4(z+0.5)=0.7(z-13)

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Solution for 1.4(z+0.5)=0.7(z-13) equation: 


Simplifying
1.4(z + 0.5) = 0.7(z + -13)

Reorder the terms:
1.4(0.5 + z) = 0.7(z + -13)
(0.5 * 1.4 + z * 1.4) = 0.7(z + -13)
(0.7 + 1.4z) = 0.7(z + -13)

Reorder the terms:
0.7 + 1.4z = 0.7(-13 + z)
0.7 + 1.4z = (-13 * 0.7 + z * 0.7)
0.7 + 1.4z = (-9.1 + 0.7z)

Solving
0.7 + 1.4z = -9.1 + 0.7z

Solving for variable 'z'.

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

Add '-0.7z' to each side of the equation.
0.7 + 1.4z + -0.7z = -9.1 + 0.7z + -0.7z

Combine like terms: 1.4z + -0.7z = 0.7z
0.7 + 0.7z = -9.1 + 0.7z + -0.7z

Combine like terms: 0.7z + -0.7z = 0.0
0.7 + 0.7z = -9.1 + 0.0
0.7 + 0.7z = -9.1

Add '-0.7' to each side of the equation.
0.7 + -0.7 + 0.7z = -9.1 + -0.7

Combine like terms: 0.7 + -0.7 = 0.0
0.0 + 0.7z = -9.1 + -0.7
0.7z = -9.1 + -0.7

Combine like terms: -9.1 + -0.7 = -9.8
0.7z = -9.8

Divide each side by '0.7'.
z = -14

Simplifying
z = -14

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