0.5(4z+7)+0.3=0.7(4z-6)

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Solution for 0.5(4z+7)+0.3=0.7(4z-6) equation: 


Simplifying
0.5(4z + 7) + 0.3 = 0.7(4z + -6)

Reorder the terms:
0.5(7 + 4z) + 0.3 = 0.7(4z + -6)
(7 * 0.5 + 4z * 0.5) + 0.3 = 0.7(4z + -6)
(3.5 + 2z) + 0.3 = 0.7(4z + -6)

Reorder the terms:
3.5 + 0.3 + 2z = 0.7(4z + -6)

Combine like terms: 3.5 + 0.3 = 3.8
3.8 + 2z = 0.7(4z + -6)

Reorder the terms:
3.8 + 2z = 0.7(-6 + 4z)
3.8 + 2z = (-6 * 0.7 + 4z * 0.7)
3.8 + 2z = (-4.2 + 2.8z)

Solving
3.8 + 2z = -4.2 + 2.8z

Solving for variable 'z'.

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

Add '-2.8z' to each side of the equation.
3.8 + 2z + -2.8z = -4.2 + 2.8z + -2.8z

Combine like terms: 2z + -2.8z = -0.8z
3.8 + -0.8z = -4.2 + 2.8z + -2.8z

Combine like terms: 2.8z + -2.8z = 0.0
3.8 + -0.8z = -4.2 + 0.0
3.8 + -0.8z = -4.2

Add '-3.8' to each side of the equation.
3.8 + -3.8 + -0.8z = -4.2 + -3.8

Combine like terms: 3.8 + -3.8 = 0.0
0.0 + -0.8z = -4.2 + -3.8
-0.8z = -4.2 + -3.8

Combine like terms: -4.2 + -3.8 = -8
-0.8z = -8

Divide each side by '-0.8'.
z = 10

Simplifying
z = 10

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