3(z+4)+(z-2).6=15

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Solution for 3(z+4)+(z-2).6=15 equation: 


Simplifying
3(z + 4) + (z + -2) * 0.6 = 15

Reorder the terms:
3(4 + z) + (z + -2) * 0.6 = 15
(4 * 3 + z * 3) + (z + -2) * 0.6 = 15
(12 + 3z) + (z + -2) * 0.6 = 15

Reorder the terms:
12 + 3z + (-2 + z) * 0.6 = 15

Reorder the terms for easier multiplication:
12 + 3z + 0.6(-2 + z) = 15
12 + 3z + (-2 * 0.6 + z * 0.6) = 15
12 + 3z + (-1.2 + 0.6z) = 15

Reorder the terms:
12 + -1.2 + 3z + 0.6z = 15

Combine like terms: 12 + -1.2 = 10.8
10.8 + 3z + 0.6z = 15

Combine like terms: 3z + 0.6z = 3.6z
10.8 + 3.6z = 15

Solving
10.8 + 3.6z = 15

Solving for variable 'z'.

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

Add '-10.8' to each side of the equation.
10.8 + -10.8 + 3.6z = 15 + -10.8

Combine like terms: 10.8 + -10.8 = 0.0
0.0 + 3.6z = 15 + -10.8
3.6z = 15 + -10.8

Combine like terms: 15 + -10.8 = 4.2
3.6z = 4.2

Divide each side by '3.6'.
z = 1.166666667

Simplifying
z = 1.166666667

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