-1.8(z-18)=1.8(z-1.5)

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Solution for -1.8(z-18)=1.8(z-1.5) equation:


Simplifying
-1.8(z + -18) = 1.8(z + -1.5)

Reorder the terms:
-1.8(-18 + z) = 1.8(z + -1.5)
(-18 * -1.8 + z * -1.8) = 1.8(z + -1.5)
(32.4 + -1.8z) = 1.8(z + -1.5)

Reorder the terms:
32.4 + -1.8z = 1.8(-1.5 + z)
32.4 + -1.8z = (-1.5 * 1.8 + z * 1.8)
32.4 + -1.8z = (-2.7 + 1.8z)

Solving
32.4 + -1.8z = -2.7 + 1.8z

Solving for variable 'z'.

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

Add '-1.8z' to each side of the equation.
32.4 + -1.8z + -1.8z = -2.7 + 1.8z + -1.8z

Combine like terms: -1.8z + -1.8z = -3.6z
32.4 + -3.6z = -2.7 + 1.8z + -1.8z

Combine like terms: 1.8z + -1.8z = 0.0
32.4 + -3.6z = -2.7 + 0.0
32.4 + -3.6z = -2.7

Add '-32.4' to each side of the equation.
32.4 + -32.4 + -3.6z = -2.7 + -32.4

Combine like terms: 32.4 + -32.4 = 0.0
0.0 + -3.6z = -2.7 + -32.4
-3.6z = -2.7 + -32.4

Combine like terms: -2.7 + -32.4 = -35.1
-3.6z = -35.1

Divide each side by '-3.6'.
z = 9.75

Simplifying
z = 9.75

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