6.5(z-2)=-2.5(3z+3)

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Solution for 6.5(z-2)=-2.5(3z+3) equation:


Simplifying
6.5(z + -2) = -2.5(3z + 3)

Reorder the terms:
6.5(-2 + z) = -2.5(3z + 3)
(-2 * 6.5 + z * 6.5) = -2.5(3z + 3)
(-13 + 6.5z) = -2.5(3z + 3)

Reorder the terms:
-13 + 6.5z = -2.5(3 + 3z)
-13 + 6.5z = (3 * -2.5 + 3z * -2.5)
-13 + 6.5z = (-7.5 + -7.5z)

Solving
-13 + 6.5z = -7.5 + -7.5z

Solving for variable 'z'.

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

Add '7.5z' to each side of the equation.
-13 + 6.5z + 7.5z = -7.5 + -7.5z + 7.5z

Combine like terms: 6.5z + 7.5z = 14z
-13 + 14z = -7.5 + -7.5z + 7.5z

Combine like terms: -7.5z + 7.5z = 0.0
-13 + 14z = -7.5 + 0.0
-13 + 14z = -7.5

Add '13' to each side of the equation.
-13 + 13 + 14z = -7.5 + 13

Combine like terms: -13 + 13 = 0
0 + 14z = -7.5 + 13
14z = -7.5 + 13

Combine like terms: -7.5 + 13 = 5.5
14z = 5.5

Divide each side by '14'.
z = 0.3928571429

Simplifying
z = 0.3928571429

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