-0.7(z-18)=-2.7(z-14)

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Solution for -0.7(z-18)=-2.7(z-14) equation:


Simplifying
-0.7(z + -18) = -2.7(z + -14)

Reorder the terms:
-0.7(-18 + z) = -2.7(z + -14)
(-18 * -0.7 + z * -0.7) = -2.7(z + -14)
(12.6 + -0.7z) = -2.7(z + -14)

Reorder the terms:
12.6 + -0.7z = -2.7(-14 + z)
12.6 + -0.7z = (-14 * -2.7 + z * -2.7)
12.6 + -0.7z = (37.8 + -2.7z)

Solving
12.6 + -0.7z = 37.8 + -2.7z

Solving for variable 'z'.

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

Add '2.7z' to each side of the equation.
12.6 + -0.7z + 2.7z = 37.8 + -2.7z + 2.7z

Combine like terms: -0.7z + 2.7z = 2z
12.6 + 2z = 37.8 + -2.7z + 2.7z

Combine like terms: -2.7z + 2.7z = 0.0
12.6 + 2z = 37.8 + 0.0
12.6 + 2z = 37.8

Add '-12.6' to each side of the equation.
12.6 + -12.6 + 2z = 37.8 + -12.6

Combine like terms: 12.6 + -12.6 = 0.0
0.0 + 2z = 37.8 + -12.6
2z = 37.8 + -12.6

Combine like terms: 37.8 + -12.6 = 25.2
2z = 25.2

Divide each side by '2'.
z = 12.6

Simplifying
z = 12.6

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