z+1.1z+2.4=-0.6(z+5)

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Solution for z+1.1z+2.4=-0.6(z+5) equation: 


Simplifying
z + 1.1z + 2.4 = -0.6(z + 5)

Reorder the terms:
2.4 + z + 1.1z = -0.6(z + 5)

Combine like terms: z + 1.1z = 2.1z
2.4 + 2.1z = -0.6(z + 5)

Reorder the terms:
2.4 + 2.1z = -0.6(5 + z)
2.4 + 2.1z = (5 * -0.6 + z * -0.6)
2.4 + 2.1z = (-3 + -0.6z)

Solving
2.4 + 2.1z = -3 + -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.
2.4 + 2.1z + 0.6z = -3 + -0.6z + 0.6z

Combine like terms: 2.1z + 0.6z = 2.7z
2.4 + 2.7z = -3 + -0.6z + 0.6z

Combine like terms: -0.6z + 0.6z = 0.0
2.4 + 2.7z = -3 + 0.0
2.4 + 2.7z = -3

Add '-2.4' to each side of the equation.
2.4 + -2.4 + 2.7z = -3 + -2.4

Combine like terms: 2.4 + -2.4 = 0.0
0.0 + 2.7z = -3 + -2.4
2.7z = -3 + -2.4

Combine like terms: -3 + -2.4 = -5.4
2.7z = -5.4

Divide each side by '2.7'.
z = -2

Simplifying
z = -2

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