0.5(4z+6)+1.5=0.7(4z-5)

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Solution for 0.5(4z+6)+1.5=0.7(4z-5) equation:


Simplifying
0.5(4z + 6) + 1.5 = 0.7(4z + -5)

Reorder the terms:
0.5(6 + 4z) + 1.5 = 0.7(4z + -5)
(6 * 0.5 + 4z * 0.5) + 1.5 = 0.7(4z + -5)
(3 + 2z) + 1.5 = 0.7(4z + -5)

Reorder the terms:
3 + 1.5 + 2z = 0.7(4z + -5)

Combine like terms: 3 + 1.5 = 4.5
4.5 + 2z = 0.7(4z + -5)

Reorder the terms:
4.5 + 2z = 0.7(-5 + 4z)
4.5 + 2z = (-5 * 0.7 + 4z * 0.7)
4.5 + 2z = (-3.5 + 2.8z)

Solving
4.5 + 2z = -3.5 + 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.
4.5 + 2z + -2.8z = -3.5 + 2.8z + -2.8z

Combine like terms: 2z + -2.8z = -0.8z
4.5 + -0.8z = -3.5 + 2.8z + -2.8z

Combine like terms: 2.8z + -2.8z = 0.0
4.5 + -0.8z = -3.5 + 0.0
4.5 + -0.8z = -3.5

Add '-4.5' to each side of the equation.
4.5 + -4.5 + -0.8z = -3.5 + -4.5

Combine like terms: 4.5 + -4.5 = 0.0
0.0 + -0.8z = -3.5 + -4.5
-0.8z = -3.5 + -4.5

Combine like terms: -3.5 + -4.5 = -8
-0.8z = -8

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

Simplifying
z = 10

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