0.3(2z+5)=0.7(z-3)+2.6

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Solution for 0.3(2z+5)=0.7(z-3)+2.6 equation: 


Simplifying
0.3(2z + 5) = 0.7(z + -3) + 2.6

Reorder the terms:
0.3(5 + 2z) = 0.7(z + -3) + 2.6
(5 * 0.3 + 2z * 0.3) = 0.7(z + -3) + 2.6
(1.5 + 0.6z) = 0.7(z + -3) + 2.6

Reorder the terms:
1.5 + 0.6z = 0.7(-3 + z) + 2.6
1.5 + 0.6z = (-3 * 0.7 + z * 0.7) + 2.6
1.5 + 0.6z = (-2.1 + 0.7z) + 2.6

Reorder the terms:
1.5 + 0.6z = -2.1 + 2.6 + 0.7z

Combine like terms: -2.1 + 2.6 = 0.5
1.5 + 0.6z = 0.5 + 0.7z

Solving
1.5 + 0.6z = 0.5 + 0.7z

Solving for variable 'z'.

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

Add '-0.7z' to each side of the equation.
1.5 + 0.6z + -0.7z = 0.5 + 0.7z + -0.7z

Combine like terms: 0.6z + -0.7z = -0.1z
1.5 + -0.1z = 0.5 + 0.7z + -0.7z

Combine like terms: 0.7z + -0.7z = 0.0
1.5 + -0.1z = 0.5 + 0.0
1.5 + -0.1z = 0.5

Add '-1.5' to each side of the equation.
1.5 + -1.5 + -0.1z = 0.5 + -1.5

Combine like terms: 1.5 + -1.5 = 0.0
0.0 + -0.1z = 0.5 + -1.5
-0.1z = 0.5 + -1.5

Combine like terms: 0.5 + -1.5 = -1
-0.1z = -1

Divide each side by '-0.1'.
z = 10

Simplifying
z = 10

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