5.2=-2.4(z+3.5)

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Solution for 5.2=-2.4(z+3.5) equation: 


Simplifying
5.2 = -2.4(z + 3.5)

Reorder the terms:
5.2 = -2.4(3.5 + z)
5.2 = (3.5 * -2.4 + z * -2.4)
5.2 = (-8.4 + -2.4z)

Solving
5.2 = -8.4 + -2.4z

Solving for variable 'z'.

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

Add '2.4z' to each side of the equation.
5.2 + 2.4z = -8.4 + -2.4z + 2.4z

Combine like terms: -2.4z + 2.4z = 0.0
5.2 + 2.4z = -8.4 + 0.0
5.2 + 2.4z = -8.4

Add '-5.2' to each side of the equation.
5.2 + -5.2 + 2.4z = -8.4 + -5.2

Combine like terms: 5.2 + -5.2 = 0.0
0.0 + 2.4z = -8.4 + -5.2
2.4z = -8.4 + -5.2

Combine like terms: -8.4 + -5.2 = -13.6
2.4z = -13.6

Divide each side by '2.4'.
z = -5.666666667

Simplifying
z = -5.666666667

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