0.6(4+3z)=5(0.7+0.2z)+2.5

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Solution for 0.6(4+3z)=5(0.7+0.2z)+2.5 equation: 


Simplifying
0.6(4 + 3z) = 5(0.7 + 0.2z) + 2.5
(4 * 0.6 + 3z * 0.6) = 5(0.7 + 0.2z) + 2.5
(2.4 + 1.8z) = 5(0.7 + 0.2z) + 2.5
2.4 + 1.8z = (0.7 * 5 + 0.2z * 5) + 2.5
2.4 + 1.8z = (3.5 + 1z) + 2.5

Reorder the terms:
2.4 + 1.8z = 3.5 + 2.5 + 1z

Combine like terms: 3.5 + 2.5 = 6
2.4 + 1.8z = 6 + 1z

Solving
2.4 + 1.8z = 6 + 1z

Solving for variable 'z'.

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

Add '-1z' to each side of the equation.
2.4 + 1.8z + -1z = 6 + 1z + -1z

Combine like terms: 1.8z + -1z = 0.8z
2.4 + 0.8z = 6 + 1z + -1z

Combine like terms: 1z + -1z = 0
2.4 + 0.8z = 6 + 0
2.4 + 0.8z = 6

Add '-2.4' to each side of the equation.
2.4 + -2.4 + 0.8z = 6 + -2.4

Combine like terms: 2.4 + -2.4 = 0.0
0.0 + 0.8z = 6 + -2.4
0.8z = 6 + -2.4

Combine like terms: 6 + -2.4 = 3.6
0.8z = 3.6

Divide each side by '0.8'.
z = 4.5

Simplifying
z = 4.5

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