1.5+2z=-3(0.2z+2.1)

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Solution for 1.5+2z=-3(0.2z+2.1) equation:


Simplifying
1.5 + 2z = -3(0.2z + 2.1)

Reorder the terms:
1.5 + 2z = -3(2.1 + 0.2z)
1.5 + 2z = (2.1 * -3 + 0.2z * -3)
1.5 + 2z = (-6.3 + -0.6z)

Solving
1.5 + 2z = -6.3 + -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.
1.5 + 2z + 0.6z = -6.3 + -0.6z + 0.6z

Combine like terms: 2z + 0.6z = 2.6z
1.5 + 2.6z = -6.3 + -0.6z + 0.6z

Combine like terms: -0.6z + 0.6z = 0.0
1.5 + 2.6z = -6.3 + 0.0
1.5 + 2.6z = -6.3

Add '-1.5' to each side of the equation.
1.5 + -1.5 + 2.6z = -6.3 + -1.5

Combine like terms: 1.5 + -1.5 = 0.0
0.0 + 2.6z = -6.3 + -1.5
2.6z = -6.3 + -1.5

Combine like terms: -6.3 + -1.5 = -7.8
2.6z = -7.8

Divide each side by '2.6'.
z = -3

Simplifying
z = -3

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