-2.6(z-1.5)=-0.6(z-18)

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Solution for -2.6(z-1.5)=-0.6(z-18) equation:


Simplifying
-2.6(z + -1.5) = -0.6(z + -18)

Reorder the terms:
-2.6(-1.5 + z) = -0.6(z + -18)
(-1.5 * -2.6 + z * -2.6) = -0.6(z + -18)
(3.9 + -2.6z) = -0.6(z + -18)

Reorder the terms:
3.9 + -2.6z = -0.6(-18 + z)
3.9 + -2.6z = (-18 * -0.6 + z * -0.6)
3.9 + -2.6z = (10.8 + -0.6z)

Solving
3.9 + -2.6z = 10.8 + -0.6z

Solving for variable 'z'.

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

Add '0.6z' to each side of the equation.
3.9 + -2.6z + 0.6z = 10.8 + -0.6z + 0.6z

Combine like terms: -2.6z + 0.6z = -2z
3.9 + -2z = 10.8 + -0.6z + 0.6z

Combine like terms: -0.6z + 0.6z = 0.0
3.9 + -2z = 10.8 + 0.0
3.9 + -2z = 10.8

Add '-3.9' to each side of the equation.
3.9 + -3.9 + -2z = 10.8 + -3.9

Combine like terms: 3.9 + -3.9 = 0.0
0.0 + -2z = 10.8 + -3.9
-2z = 10.8 + -3.9

Combine like terms: 10.8 + -3.9 = 6.9
-2z = 6.9

Divide each side by '-2'.
z = -3.45

Simplifying
z = -3.45

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